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Publications

Books

Estimation Techniques for Distributed Parameter Systems
H. T. BANKS and K. KUNISCH.
Birkhäuser, Boston, 1989.

On the Lagrange Multiplier Approach to Variational Problems and Applications
K. ITO and K. KUNISCH
SIAM, Philadelphia, 2008.

Articles:

[390]
Smooth approximation of feedback laws for infinite horizon control problems with non-smooth value functions
K. KUNISCH and D. VÁSQUEZ-VARAS
submitted, 2024
Preprint

[389]
Numerical realization of the mortensen observer via a Hessian-augmented polynomial approximation of the value function
T. BREITEN, K. KUNISCH, and J. SCHRÖDER
submitted, 2023
Preprint

[388]
Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems
K. KUNISCH, G. WANG and H. YU
submitted, 2023
Preprint

[387]
Stabilizability for nonautonomous linear parabolic equations with actuators as distributions
K. KUNISCH, S. S. RODRIGUES and D. WALTER
ESAIM: Control, Optimisation and Calculus of Variations, to appear, 2023
Preprint

[386]

Stabilization of uncertain linear dynamics: An offline-online strategy
P. A. GUTH, K. KUNISCH and S. S. RODRIGUES
submitted, 2023
Preprint

[385]

First and second order optimality conditions for the control of infinite horizon Navier-Stokes equations
E. CASAS and K. KUNISCH
submitted, 2023
Preprint

[384]

Ensemble Feedback Stabilization of Linear Systems
P. GUTH, K. KUNISCH and S. S. RODRIGUES
submitted, 2023
Preprint

[383]
Latent-space disentanglement with untrained generator networks for the isolation of different motion types in video data
ABDULLAH, M. HOLLER, K. KUNISCH and M. S. LANDMAN
Scale Space and Variational Methods in Computer Vision: 9th International Conference, SSVM, pages 326–338, 2023.
Preprint

[382]

Optimal polynomial feedback laws for finite horizon control problems
K. KUNISCH and D. VÁSQUEZ-VARAS
Computers & Mathematics with Applications 148(2023),113-125
doi: 10.1016/j.camwa.2023.08.004
Preprint

[381] Learning optimal feedback operators and their sparse polynomial approximation
K. KUNISCH, D. VÁSQUEZ-VARAS and D. WALTER
J. Mach. Learn. Res., 24:Paper No. 301, 1-38, 2023
Preprint

[380] Directional differentiability for shape optimization with variational inequalities as constraints
V.A. KOVTUNENKO and K. KUNISCH
SAIM Control Optim. Calc. Var., 29:Paper No.64, 30, 2023
doi:10.1051/cocv/2023056
Preprint

[379] Analysis of rhc for stabilization of nonautonomous parabolic equations under uncertainty
B. AZMI, L. HERRMANN and K. KUNISCH
SIAM Journal of Control and Optimization, to appear, 2023
Preprint

[378]  Global stabilizability to trajectories for the Schlögl equation in a Sobolev norm
K. KUNISCH and S.S. RODRIGUES
Discrete and Continuous Dynamical Systems, 43:2457–2493, 2023.
Preprint

[377] Infinite horizon optimal control for a general class of semilinear parabolic equations
E. CASAS and K. KUNISCH
Appl. Math. Optim., 88(2):Paper No. 47, 36, 2023
doi: 10.1007/s00245-023-10006-4
Preprint

[376] Optimal feedback control of dynamical systems via value-function approximation
K. KUNISCH and D. WALTER

Comptes Rendus Mécanique 351(S1),1-37, 2023
doi: 10.5802/crmeca.199
Preprint

[375] Infinite horizon optimal control problems with discount factor on the state. Part II: Analysis of the control problem
E. CASAS and K. KUNISCH
SIAM J. Control Optim., 61(3):1438–1459, 2023
doi:10.1137/22M1490296
Preprint

[374] Infinite horizon optimal control problems with discount factor on the state. Part I: Analysis of the controlled state equation
E. CASAS and K. KUNISCH
SIAM J. Control Optim., 61(3):1375–1393, 2023
doi:10.1137/22M1490272
Preprint

[373] Improving the convergence rates for the kinetic Fokker-Planck equation by optimal control
T. BREITEN and K. KUNISCH
SIAM J. Control Optim., 61(3):1557–1581, 2023
doi:10.1137/22M1499698
Preprint

[372] Boundary control of semilinear parabolic equations with non-smooth pointwise-integral control constraints in time-space
E. CASAS and K. KUNISCH
Proceedings of the 2022 American Control Conference, pages 284–289, 2022
doi: 10.23919/ACC53348.2022.9867749

[371] Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations
E. CASAS and K. KUNISCH
SIAM Journal on Control and Optimization, 60(4):2070–2094, 2022
doi: 10.1137/21M1464816
Preprint

[370] Shape derivative for penalty-constrained nonsmooth–nonconvex optimization: cohesive crack problem
V. A. KOVTUNENKO and K. KUNISCH
Journal of Optimization Theory and Applications, 194:597–635, 2022
doi: 10.1007/s10957-022-02041-y
Preprint

[369] Saturated feedback stabilizability to trajectories for the Schlögl parabolic equation
B. AZMI, K. KUNISCH and S.S. RODRIGUES
to appear in IEEE/Transactions on Automatic Control, 2023
doi: 10.1109/TAC.2023.3247511
Preprint

[368] Total deep variation for linear inverse problems
E. KOBLER, A. EFFLAND, K. KUNISCH and T. POCK
IEEE/Transactions on Pattern Analysis and Machine Intelligence, 44(12):9163–9180, 2022
doi: 10.1109/TPAMI.2021.3124086
Preprint
[367] Continuous differentiability of the value function of semilinear parabolic infinite time horizon optimal control problems on L2(Ω) under control constraints
K. KUNISCH and B. PRIYASAD
Applied Mathematics & Optimization, 85:10, 2022
doi: 10.1007/s00245-022-09840-9
Preprint
[366] On fast convergence rates for generalized conditional gradient methods with backtracking stepsize
K. KUNISCH and D. WALTER
Numerical Algebra, Control and Optimization, pp:1–29, 2022
doi:10.3934/naco.2022026
Preprint
[365] Error estimates for the numerical approximation of optimal control problems with non-smooth pointwise-integral control constraints
E. CASAS, K. KUNISCH and M. MATEOS
IMA Journal of Numerical Analysis, drac027, 2022
doi: 10.1093/imanum/drac027
Preprint
[364] Design of the monodomain model by artificial neural networks
S. COURT and K. KUNISCH
Discrete and Continuous Dynamical Systems, 42(12):6031–6061, 2022
doi: 10.3934/dcds.2022137
Preprint
[363] Optimal control of semilinear parabolic equations with non-smooth pointwise-integral control constraints in time-space
E. CASAS and K. KUNISCH
Applied Mathematics & Optimization, 85:1–40, 2022
doi: 10.1007/s00245-022-09850-7
Preprint
[362] Learning an optimal feedback operator semiglobally stabilizing semilinear parabolic equations
K. KUNISCH, S.S. RODRIGUES and D. WALTER
Applied Mathematics & Optimization 84, 277–318, 2021
doi: 10.1007/s00245-021-09769-5
Preprint

[361] Optimal control of PDEs and FE-approximation
E. CASAS, K. KUNISCH and F. TRÖLTZSCH
Chapter 4 - optimal control of pdes and feapproximation. In E. Trélat and E. Zuazua, editors, Numerical Control: Part A, volume 23 of Handbook of Numerical Analysis, pages 115–163. Elsevier, 2022
doi: 10.1016/bs.hna.2021.12.004.

[360] Optimal control of the linear wave equation by time-depending BV-controls: A semi-smooth Newton approach
S. ENGEL and K. KUNISCH
Mathematical Control & Related Fields, 10(3): 591-622, 2020
doi: 10.3934/mcrf.2020012
Preprint

[359] Stabilization of nonautonomous parabolic equations by a single moving actuator
B. AZMI, K. KUNISCH and S.S. Rodrigues
Discrete and Continuous Dynamical Systems 41(12): 5789-5824, 2021
doi: 10.3934/dcds.2021096
Preprint

[358] Total deep variation for linear inverse problems
E. KOBLER, A. EFFLAND, K. KUNISCH and T. POCK
IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 7546-7555, 2020.
doi: 10.1109/CVPR42600.2020.00757
Preprint

[357] An inverse problem involving a viscous Eikonal equation with applications in electropysiology
K. KUNISCH and P. TRAUTMANN
Vietnam Journal of Mathematics, 50:301–317, 2022
doi: 10.1007/s10013-021-00509-4
Preprint
[356] Data-driven recovery of optimal feedback laws through optimality conditions and sparse polynomial regression
B. AZMI, D. KALISE and K. KUNISCH
Journal of Machine Learning Research, 22(48):1–32, 2021
online: https://jmlr.org/papers/v22/20-755.html
Preprint
[355] Optimal control of the two-dimensional evolutionary Navier-Stokes equations with measure valued controls
E. CASAS and K. KUNISCH
SIAM J. Control Optim., 59(3), 2223–2246, 2021
doi: 10.1137/20M1351400
Preprint
[354] On the convergence and mesh-independent property of the Barzilai-Borwein method for PDE-constrained optimization
B. AZMI and K. KUNISCH
IMA Journal of Numerical Analysis, 42(4):2984–3021, 2021
doi: 10.1093/imanum/drab056
Preprint

[353] Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation
G. PERALTA and K. KUNISCH
Numerische Mathematik, 150:591–627, 2022
doi: 10.1007/s00211-021-01258-9
Preprint

[352] Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains
E. CASAS and K. KUNISCH
ESAIM: Control, Optimisation and Calculus of Variations, 27:61, 2021
doi: 10.1051/cocv/2021058
Preprint
[351] Policy iteration for Hamilton-Jacobi-Bellman equations with control constraints

S. KUNDU and K. KUNISCH
Computational Optimization and Applications (COAP), 2021
doi: 10.1007/s10589-021-00278-3
Preprint

[350] Neural network based nonlinear observers

T. BREITEN and K. KUNISCH
Systems & Control Letters, 148: 104829, 2021
doi: 10.1016/j.sysconle.2020.104829
Preprint

[349] Learning nonlocal regularization operators
G. HOLLER and K. KUNISCH
Mathematical Control and Related Fields, 12:81–114, 2022
doi: 10.3934/mcrf.2021003
Preprint

[348] Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation
K. KUNISCH and D. WALTER
ESAIM: Control, Optimisation and Calculus of Variations, 21:16, 2021
doi: 10.1051/cocv/2021009
Preprint
[347] Optimal control of the principal coefficient in a scalar wave equation
C. CLASON, K. KUNISCH and P. TRAUTMANN
Applied Mathematics and Optimization (AMOP) 84:2889–2921, 2021
doi: 10.1007/s00245-020-09733-9
Preprint
[346] Inverse problem of breaking line identification by shape optimization.
D. GHILLI, K. KUNISCH and V. KOVTUNENKO
Journal of Inverse and Ill-posed Problems, 28(1):119–135, 2019
doi: 10.1515/jiip-2019-0047
Preprint

[345] Robust feedback control of nonlinear PDEs by numerical approximation of high-dimensional Hamilton-Jacobi-Isaacs equations.
D. KALISE, S. KUNDU and K. KUNISCH
SIAM Journal on Applied Dynamical Systems, 19(2):1496–1524, 2020
doi: 10.1137/19M1262139
Preprint

[344] Feedback stabilization of the three-dimensional Navier-Stokes equations using generalized Lyapunov equations.
T. BREITEN and K. KUNISCH
Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 40(7): 4197-4229, 2020
doi: 10.3934/dcds.2020178
Preprint

[343] Tensor decompositions for high-dimensional Hamilton-Jacobi-Bellman equations
S. DOLGOV, D. KALISE and K. KUNISCH
SIAM Journal on Scientific Computing, 43(3):A1625-A1650, 2021
doi: 10.1137/19M1305136
Preprint
[342] Analysis of a nonlinear fluid-structure interaction model with mechanical dissipation and delay
G. PERALTA and K. KUNISCH
Nonlinearity, 32(12):5110–5149, 2019
doi: 10.1088/1361-6544/ab46f5.
Preprint

[341] Variational networks: An optimal control approach to early stopping variational methods for image restoration
A. EFFLAND, E. KOBLER, K. KUNISCH and T. POCK
Journal of Mathematical Imaging and Vision, 62: 396–416, 2020
doi: 10.1007/s10851-019-00926-8
Preprint

[340] Time-optimal control based rf pulse design under gradient imperfections
C.S. AIGNER, A. RUND, S.A. SEADA, S. MALIK, J.V. HANJAL, K. KUNISCH and R. STOLLBERGER
Magnetic Resonance in Medicine, 83(2):561–574, 2020
doi: 10.1002/mrm.27955
Preprint

[339] Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints
K. KUNISCH and H. MEINLSCHMIDT
Journal de Mathématiques Pures et Appliquées, 138:46 – 87, 2020
doi: 10.1016/j.matpur.2020.03.006
Preprint

[338] Sensitivity analysis of the value function for infinite dimensional optimal control problems and its relation to riccati equations.
R. GUGLIELMI and K. KUNISCH
Optimization, 67(9):1461–1485, 2018.
doi:10.1080/02331934.2018.1476514
Preprint

[337] The effect of the terminal penalty in receding horizon control for a class of stabilization problems
K. KUNISCH and L. PFEIFFER
ESIAM: Control, Optimisation and Calculus of Variations, 26(58), 2020
doi: 10.1051/cocv/2019037
Preprint
[336] On a monotone scheme for nonconvex nonsmooth optimization with applications to fracture mechanics
D. GHILLI and K. KUNISCH
Journal of Optimization Theory and Applications, 183(2):609-641, 2019
doi: 10.1007/s10957-019-01545-4
Preprint
[335] Using sparse control methods to identify sources in linear diffusion-convection equations.
E. CASAS and K. KUNISCH
Inverse Problems, 35(11):114002 (17pp), 2019
doi: 10.1088/1361-6420/ab331c
Preprint
[334] Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation
T. BREITEN, K. KUNISCH and L. PFEIFFER
Applied Mathematics and Optimization, 80(3):599–641, 2019
doi: 10.1007/s00245-019-09586-x
Preprint
[333] A hybrid finite-dimensional RHC for stabilization of time-varying parabolic equations
B. AZMI and K. KUNISCH
SIAM Journal on Control and Optimization, 57(5):3496–3526, 2019
doi:10.1137/19M1239787.
Preprint

[332] Analysis of the Barzilai-Borwein step-sizes for problems in Hilbert spaces
B. AZMI and K. KUNISCH
Journal of Optimization Theory and Applications (JOTA), 185: 819 - 844, 2020
doi: 10.1007/s10957-020-01677-y
Preprint

[331] Oblique projection based stabilizing feedback for nonautonomous coupled parabolic-ode systems
K. KUNISCH and S. RODRIGUES
AIMS Discrete & Continuous Dynamical Systems-A, 39(11):6355–6389, 2019.
doi: 10.3934/dcds.2019276
Preprint

[330] Analysis and finite element discretization for optimal control of a linear fluid-structure interaction problem with delay
G. PERALTA and  K. KUNISCH
IMA Journal of Numerical Analysis, dry070, 2018
doi: 10.1093/imanum/dry070
Preprint
[329] Sparse and switching infinite horizon optimal control with nonconvex penalization
D. KALISE,  K. KUNISCH and Z. RAO
ESIAM: Control, Optimisation and Calculus of Variations, 26(61), 2020
doi: 10.1051/cocv/2019038
Preprint

[328] Time-optimality by distance-optimality for parabolic control systems
L. BONIFACIUS and K. KUNISCH
ESAIM: Mathematical Modelling and Numerical Analysis, 54(1):79–103, 2020
doi: 10.1051/m2an/2019046
Preprint

[327] A bilevel approach for parameter learning in inverse problems
G. HOLLER, K. KUNISCH and R.C. BARNARD
Inverse Problems, 34(11):115012, 2018
doi: 10.1088/1361-6420/aade77
Preprint
[326] Revisiting generalized FEM: a Petrov-Galerkin enrichment based FEM interpolation for Helmholtz problem
V. KOVTUNENKO and K. KUNISCH
Calcolo, 55(3):38, 2018
doi: 10.1007/s10092-018-0280-5
Preprint
[325] Numerical study of polynomial feedback laws for a bilinear control problem
T. BREITEN, K. KUNISCH and L. PFEIFFER
Mathematical Control & Related Fields, 8(3-4):557–582, 2018
doi: 10.3934/mcrf.2018023
Preprint
[324] Infinite-horizon bilinear optimal control problems: Sensitivity analysis and polynomial feedback laws
T. BREITEN, K. KUNISCH and L. PFEIFFER
SIAM Journal on Control and Optimization, 56(5):3184–3214, 2018
doi: 10.1137/18M1173952
Preprint
[323] Inverse localization of earliest cardiac activation sites from activation maps based on the viscous Eikonal equation
K. KUNISCH, A. NEIC, G. PLANK and P. TRAUTMANN
Journal of Mathematical Biology, 79:2033–2068, 2019
doi: 10.1007/s00285-019-01419-3.
Preprint
[322] Optimal control of the two-dimensional stationary Navier-Stokes equations with measured valued controls
E. CASAS and K. KUNISCH
SIAM Journal on Control and Optimization, 57(2): 1328–1354, 2019
doi: 10.1137/18M1185582
Preprint
[321] Interface stabilization of a parabolic-hyperbolic pde system with delay in the interaction
G. PERALTA and K. KUNISCH
AIMS: Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 38(6):3055-3083, 2018
doi: 10.3934/dcds.2018133
Preprint
[320] Optimal control problem for systems of conservation laws, with geometric parameter, and application to the shallow-water equations
S. COURT, K. KUNISCH and L. PFEIFFER
Interfaces and Free Boundaries, 21:273–311, 2019.
doi: 10.4171/IFB/424.
Preprint
[319] Total variation regularization of multi-material topology optimization
C. CLASON, F. KRUSE and K. KUNISCH
ESAIM: Mathematical Modelling and Numerical Analysis, 52(1):275–303, 2018
doi: 10.1051/m2an/2017061
Preprint
[318] Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators
K. KUNISCH and S. RODRIGUES
ESIAM: Control, Optimisation and Calculus of Variations, 25:67, 2019
doi: 10.1051/cocv/2018054
Preprint
[317] Frequency-spares optimal quantum control
G. FRIESECKE, F. HENNEKE and K. KUNISCH
AIMS: Mathematical Control & Related Fields, 8(1): 155–176, 2018.
doi: 10.3934/mcrf.2018007
Preprint

[316] Optimal actuator design based on shape calculus
D. KALISE, K. KUNISCH and K. STURM
Mathematical Models and Methods in Applied Sciences, 28(13): 2667-2717, 2018
doi: 10.1142/S0218202518500586
Preprint

[315] Analysis of optimal control problems of semilinear elliptic equations by bv-functions
E. CASAS and K. KUNISCH
Set-Valued and Variational Analysis, 27(2):355-379, 2019
doi: 10.1007/s11228-018-0482-7
Preprint
[314] Optimal control of elliptic variational-hemivariational inequalities
Z. PENG and K. KUNISCH
JOTA (Journal of Optimization Theory and Applications), 178(1): 1-25, 2018
doi: 10.1007/s10957-018-1303-8
Preprint

[313] Nonconvex penalization of switching control of partial differential equations
C. CLASON, K. KUNISCH and A. RUND
Systems & Control Letters , 106:1 - 8, 2017
doi: 10.1016/j.sysconle.2017.05.006
Preprint

[312] Taylor expansions of the value function associated with a bilinear optimal control problem
T. BREITEN, K. KUNISCH and L. PFEIFFER
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 36(5):1361 – 1399, 2019
doi: 10.1016/j.anihpc.2019.01.001
Preprint

[311] On the one-dimensional nonlinear monodomain equations with moving control
D. A. SOUZA and K. KUNISCH
Journal de Mathématiques Pures et Appliquées, 117: 94 -122, 2018
doi: 10.1016/j.matpur.2018.05.003
Preprint

[310] Simultaneous multislice refocusing by time-optimal control
A. RUND, C.S. AIGNER, K. KUNISCH, and R. STOLLBERGER
Magnetic Resonance in Medicine, 80(4):1416–1428, 2018
doi: 10.1002/mrm.27124
Preprint

[309] Magnetic resonance RF pulse design by optimal control with physical constraints
A. RUND, C.S. AIGNER, K. KUNISCH, and R. STOLLBERGER
IEEE Transactions on Medical Imaging, 37(2): 461-472, 2018
doi: 10.1109/TMI.2017.2758391
Preprint

[308] On monotone and primal-dual active set schemes for lp-type problems, p ∈ (0,1]
D. GHILLI and K. KUNISCH
Computational Optimization and Applications (COAP), 72(1):45-85, 2019
doi: 10.1007/s10589-018-0036-9
Preprint

[307] A monotone scheme for sparsity optimization in lp with p ∈ (0,1]
D. GHILLI and K. KUNISCH
IFAC-PapersOnLine, 50(1):494 – 499, 2017.
doi: 10.1016/j.ifacol.2017.08.102
Preprint

[306] Polynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs
D. KALISE and K. KUNISCH
SIAM Journal on Scientific Computing (SISC), 40(2), A629–A652, 2018
doi: 10.1137/17M1116635
Preprint

[305] On the semi-global stabilizability of the Korteweg-de Vries equation via model predictive control
B. AZMI, A.-C. BOULANGER and K. KUNISCH
ESIAM: Control, Optimisation and Calculus of Variations, 24(1):237–263, 2018.
doi: 10.1051/cocv/2017001
Preprint

[304] Boundary feedback stabilization of the monodomain equations
T. BREITEN and K. KUNISCH
Mathematical Control and Related Fields, 7:369–391, 2017
doi:10.3934/mcrf.2017013
Preprint

[303] Hybrid optimal control problems for a class of semilinear parabolic equations
S. COURT, K. KUNISCH and L. PFEIFFER
Discrete & Continuous Dynamical Systems - S, 11(6):1031 –1060, 2018
doi: 10.3934/dcdss.2018060
Preprint

[302] A reduction method for Riccati-based control of the Fokker-Planck equation
T. BREITEN, K. KUNISCH and L. PFEIFFER
IFAC-PapersOnLine, 50(1):1631-1636, 2017
doi: 10.1016/j.ifacol.2017.08.329
Preprint

[301] Optimal control for a class of infinite dimensional systems invloving an L∞ -term in the cost functional
S. COURT, K. KUNISCH and L. PFEIFFER
ZAMM - Journal of Applied Mathematics and Mechanics 98(4): 569 - 588, 2018
doi: 10.1002/zamm.201600199
Preprint

[300] Primal-dual active set strategy for large scale optimization of cardiac defibrillation
C. NAGAIAH and K. KUNISCH
Applied Mathematics and Computation 292: 178-193, 2017
doi: 10.1016/j.amc.2016.07.035
Preprint

[299] Stabilization by sparse controls for a class of semilinear parabolic equations
E. CASAS and K. KUNISCH
SIAM J. Control Optim., 55(1): 512–532, 2017
doi: 10.1137/16M1084298
Preprint

[298] Almost global existence of weak solutions for the nonlinear elastodynamics system with general strain energy
S. COURT and K. KUNISCH
Advances in Differential Equations, 23(1/2):135–160, 2018
Link: projecteuclid.org/euclid.ade/1508983364
Preprint

[297] Control strategies for the Fokker-Planck equation
T. BREITEN, K. KUNISCH and L. PFEIFFER
ESAIM:Control, Optimisation and Calculus of Variations 24(2): 741 - 763, 2018
doi: 10.1051/cocv/2017046
Preprint

[296] Optimal control of semilinear parabolic equations by BV-functions
E. CASAS, F. KRUSE and K. KUNISCH
SIAM Journal on Control and Optimization, 55:1752–1788, 2017
doi: 10.1137/16M1056511
Preprint

[295] Nonconvex penalization of switching control of partial differential equations
C. CLASON, K. KUNISCH and A. RUND
System and Control Letters 106:1-8, 2017
doi: 10.1016/j.sysconle.2017.05.006
Preprint

[294] Infinite horizon sparse optimal control
D. KALISE, K. KUNISCH and Z. RAO
Journal of Optimization Theory and Applications 172 (2): 481–517, 2017
doi: 10.1007/s10957-016-1016-9
Preprint 

[293] PDE constrained optimization of electrical defibrillation in a 3D ventricular slice geometry
C. NAGAIAH, K. KUNISCH and G. PLANK
International Journal for Numerical Methods in Biomedical Engineering 32(4):e02742, 2015
doi: 10.1002/cnm.2742
Preprint

[292] Feedback stabilization to non-stationary solutions of a class of reaction diffusion equations of FitzHugh-Nagumo type
T. BREITEN, K. KUNISCH and S. RODRIGUES
SIAM Journal on Control and Optimization, 55(4): 2684-2713, 2017
doi: 10.1137/15M1038165
Preprint

[291] A convex analysis approach to multi-material topology optimization
C. CLASON and K. KUNISCH
ESAIM: M2AN 50(6): 1917-1936, 2016
doi: 10.1051/m2an/2016012
Preprint

[290] On the stabilizability of the Burgers' equation by receding horizon control
B. AZMI and K. KUNISCH
SIAM J. Control Optim., 54(3): 1378-1405, 2016
doi: 10.1137/15M1030352
Preprint

[289] A convex penalty for switching control of partial differential equations
C. CLASON, A. RUND, K. KUNISCH and R. BARNARD,
Systems & Control Letters 89: 66-73, 2016
doi: 10.1016/j.sysconle.2015.12.013
Preprint

[288] Local minimization algorithms for dynamic programming equations
D. KALISE, A. KRÖNER AND K. KUNISCH
SIAM J. Sci. Comput., 38(3): A1587-A1617, 2016
doi: 10.1137/15M1010269
Preprint

[287] Parabolic control problems in space-time measure spaces
E. CASAS and K. KUNISCH
ESAIM: COCV 22(2): 355-370, 2016
doi: 10.1051/cocv/2015008
Preprint

[286] Optimal control of the undamped linear wave equation with measure valued controls
K. KUNISCH, P. TRAUTMANN and B. VEXLER
SIAM J. Control Optim., 54(3): 1212-1244, 2016
doi: 10.1137/141001366
Preprint

[285] Minimal time problem with impulsive controls
K. KUNISCH and Z. RAO
Applied Mathematics & Optimization 75(1): 75 - 97, 2017
doi: 10.1007/s00245-015-9324-2
Preprint

[284] Compensator design for the monodomain equations
T. BREITEN and K. KUNISCH
ESAIM: Control, Optimisation and Calculus of Variations 23(1): 241 - 262, 2017
doi: 10.1051/cocv/2015047
Preprint

[283] Time optimal control for a reaction diffusion system arising in cardiac electrophysiology a monolithic approach
K. KUNISCH, K. PIEPER and A. RUND
ESAIM: Mathematical Modelling and Numerical Analysis 50(2): 381-414, 2016
doi: 10.1051/m2an/2015048
Preprint

[282] A sequential method for a class of stable mathematical programming problems
K. ITO and K. KUNISCH
SIAM Journal on Optimization  26(2): 1262-1292, 2016
doi: 10.1137/140985597
Preprint

[281] Uniform convergence of the POD method and applications to optimal control
K. KUNISCH and M. MÜLLER
Journal Discrete and Continuous Dynamical System - A, 35(9):4477-4501, 2015
doi: 10.3934/dcds.2015.35.4477
Preprint

[280] Ricatti-based feedback control of the monodomain equations with the FitzHugh-Nagumo model
T. BREITEN and K. KUNISCH
SIAM Journal on Control and Optimization 52(6): 4057-4081, 2014
doi: 10.1137/140964552
Preprint

[279] Time optimal control of the monodomain model in cardiac electrophysiology
K.KUNISCH and A. RUND
IMA Journal of Applied Mathematics 80(6): 1664–1683, 2015
doi: 10.1093/imamat/hxv010
Preprint

[278] Gautschi time-stepping approach to optimal control of the wave equation
K.KUNISCH and S. REITERER
Applied Numerical Mathematics, 90: 55-76, 2015
doi: 10.1016/j.apnum.2014.12.001
Preprint

[277] Measure valued directional sparsity for parabolic optimal control problems
K. KUNISCH, K. PIEPER and B. VEXLER
SIAM Journal on Control and Optimization, 52: 3078-3108, 2014
doi: 10.1137/140959055
Preprint

[276] Robust l1 approaches to computing the geometric median and principal and independent components
S. KEELING and K. KUNISCH
Journal of Mathematical Imaging and Vision 56(1): 99 - 124, 2016
doi: 10.1007/s10851-016-0637-9
Preprint

[275] A convex analysis approach to optimal controls with switching structure for partial differential equations
C. CLASON, K. ITO and K. KUNISCH
ESAIM: Control, Optimisation and Calculus of Variations 22(2): 581 - 609, 2016
doi: 10.1051/cocv/2015017
Preprint

[274] Application of optimal control to the cardiac defibrillation problem using a physiological model of cellular dynamics
C. NAGAIAH, K. KUNISCH and G. PLANK
Applied Numerical Mathematics 95:130 - 139, 2015
doi: 10.1016/j.apnum.2015.01.006
Preprint

[273] A note on the existence of nonsmooth nonconvex optimization problems
K. ITO and K. KUNISCH
Journal of Optimization Theory and Applications 163(3): 697–706, 2014
doi: 10.1007/s10957-014-0552-4
Preprint

[272] Optimal feedback control of undamped wave equations by solving a HJB equation
A. KRÖNER, K. KUNISCH and H. ZIDANI
ESAIM: COCV 21: 442-464, 2014
doi: 10.1051/cocv/2014033
Preprint

[271] On infimal convolution of total variation type functionals and applications
M. HOLLER and K. KUNISCH
SIAM Journal on Imaging Sciences 7:2258-2300, 2014
doi: 10.1137/130948793
Preprint

[270] Boundary control of bidomain equations with state dependent switching source functions in the ionic model
C. NAGAIAH, C. ENGWER and K. KUNISCH
Journal of Computational Physics 273:227-242, 2014
doi: 10.1016/j.jcp.2014.05.017

[269] Optimal control of semilinear elliptic equations in measure spaces
E. CASAS and K. KUNISCH
SIAM Journal on Control and Optimization 52:339-364, 2013
doi: 10.1137/13092188X
Preprint

[268] Lossy compression in optimal control of cardiac defibrillation
S. GÖTSCHEL, C. NAGAIAH, K. KUNISCH and M. WEISER
Journal of Scientific Computing 60:35-59, 2013
doi: 10.1007/s10915-013-9785-x

[267] Bang-bang property of time optimal controls of Burgers equation
K. KUNISCH and L. WANG
Discrete and Continuous Dynamical System - A 34:3611-3637, 2014
doi: 10.3934/dcds.2014.34.3611
Preprint

[266] A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem
H. KASUMBA, K. KUNISCH and A. LAURAIN
Interfaces and Free Boundaries 16:459-487, 2014
doi: 10.4171/IFB/326
Preprint

[265] Multi-bang control of elliptic systems
C. CLASON and K. KUNISCH
Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire 31:1109-1130, 2014
doi: 10.1016/j.anihpc.2013.08.005
Preprint

[264] High precision identification of an object: optimality conditions based concept of imaging
V. KOVTUNENKO and K. KUNISCH
SIAM Journal on Control and Optimization 52:773-796, 2014
doi: 10.1137/13091172X
Preprint

[263] A minimum effort optimal control problem for the wave equation
A. KRÖNER and K. KUNISCH
Computational Optimization and Applications 57:241-270, 2013
doi: 10.1007/s10589-013-9587-y

[262] Optimal control with Lp(Ω), p ∈  [0,1), control cost
K. ITO and K. KUNISCH
SIAM Journal on Control and Optimization 52:1251-1275, 2014
doi: 10.1137/120896529
Preprint

[261] On boundary stimulation and optimal boundary control of the bidomain equations
C. NAGAIAH, K. KUNISCH and G. PLANK
Mathematical Biosciences, 245:206-215, 2013
doi: 10.1016/j.mbs.2013.07.004
Preprint

[260] A bilevel optimization approach for parameter learning in variational models
K. KUNISCH and T. POCK
SIAM Journal on Imaging Sciences, 6:938-983, 2012
doi: 10.1137/120882706
Preprint

[259] On time optimal control of the wave equation and its numerical realization as parametric optimization problem
K. KUNISCH and D. WACHSMUTH
SIAM Journal on Optimization and Control, 51:1232-1262, 2013
doi: 10.1137/120877520
Preprint

[258] On computation of the shape Hessian of the cost functional without shape sensitivity of the state variable
H. KASUMBA and K. KUNISCH
Journal of Optimization Theory and Applications, 162:779-804, 2014
doi: 10.1007/s10957-013-0520-4
Preprint

[257] Parabolic control problems in measure spaces with sparse solutions
E. CASAS, C. CLASON and K. KUNISCH
SIAM Journal on Optimization and Control, 51:28-63, 2013
doi: 10.1137/120872395
Preprint

[256] Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions
K. KUNISCH and M. WAGNER
ESAIM: Mathematical Modelling and Numerical Analysis 47:1077-1106, 2013
doi: 10.1051/m2an/2012058

[255] Time optimal control of the FitzHugh-Nagumo equation
K. KUNISCH and L. WANG
Journal of Mathematical Analysis and Applications 395(1): 114-130, 2012
doi: 10.1016/j.jmaa.2012.05.028

[254] Time optimal control of the heat equation with pointwise control constraints
K. KUNISCH and L. WANG
ESAIM: COCV 19:460-485, 2013
doi: 10.1051/cocv/2012017
Preprint

[253] Optimal control approach to termination of re-entry waves in cardiac electrophysiology
C. NAGAIAH, K. KUNISCH and G. PLANK
Journal of Mathematical Biology 67:359-388, 2013
doi: 10.1007/s00285-012-0557-2
Preprint

[252] On free surface PDE constrained shape optimization problem
H. KASUMBA and K. KUNISCH
Applied Mathematics and Computation, 23:11429-11450, 2012
doi: 10.1016/j.amc.2012.05.032
Preprint

[251] Approximation of elliptic control problems in measure spaces with sparse solutions
E. CASAS, C. CLASON and K. KUNISCH
SIAM Journal on Control and Optimization, 50:1735-1752, 2012
doi: 10.1137/110843216
Preprint

[250] On time optimal control of the wave equation, its regularization and optimality system
K. KUNISCH and D. WACHSMUTH
ESAIM: COCV 19(2): 317 - 336, 2013
doi: 10.1051/cocv/2012010
Preprint

[249] Vortex control in channel flows using translation invariant cost functionals
H. KASUMBA and K. KUNISCH
Computational Optimization and Applications, 52:691-717, 2012
doi: 10.1007/s10589-012-9516-5
Preprint

[248] A measure space approach to optimal source placement
C. CLASON and K. KUNISCH
Computational Optimization and Applications, 53:155-171, 2012
doi: 10.1007/s10589-011-9444-9
Preprint

[247] A variational approach to sparsity optimization based on Lagrange multiplier theory
K. ITO and K. KUNISCH
IOP Science Inverse Problems 30(1), 2014
doi: 10.1088/0266-5611/30/1/015001
Preprint

[246] On shape sensitivity analysis of the cost functional without shape sensitivity of the state variable
H. KASUMBA and K. KUNISCH
Control & Cybernetics, 40:989-1017, 2011
Preprint

[245] Optimal control of the bidomain system (II): Uniqueness and regularity theorems for weak solutions
K. KUNISCH and M. WAGNER
Annali di Matematica Pura ed Applicata 192:951-986, 2012
doi: 10.1007/s10231-012-0254-1

[244] Primal-dual methods for the computation of trading regions under proportional transaction costs
R. HERZOG, K. KUNISCH and J. SASS
Mathematical Methods of Operations Research 77:101-130, 2012
doi: 10.1007/s00186-012-0416-3
Preprint

[243] Properties of L1-TGV2: The one dimensional case
K. BREDIES, K. KUNISCH and T. VALKONEN
Journal of Mathematical Analysis and Applications, 398: 438-454, 2013
doi: 10.1016/j.jmaa.2012.08.053
Preprint

[242] A parallel Newton-Krylov method for optimal control of the monodomain model in cardiac electrophysiology
K. KUNISCH, C. NAGAIAH and M. WAGNER
Computing and Visualization in Science, 14: 257-269, 2011
doi: 10.1007/s00791-012-0182-z

[241] Optimal control of the bidomain system (I): The monodomain approximation with the Rogers-McCulloch model
K. KUNISCH and M. WAGNER
Nonlinear Analysis: Real World Applications, 13:1525-1550, 2012
doi: 10.1016/j.nonrwa.2011.11.003
Preprint

[240] A minimum effort optimal control problem for elliptic PDEs
C. CLASON, K. ITO and K. KUNISCH
ESAIM: Mathematical Modelling and Numerical Analysis, 46:911-927, 2011
doi: 10.1051/m2an/2011074
Preprint

[239] Minimal effort problems and their treatment by semi-smooth Newton methods
K. ITO and K. KUNISCH
SIAM J. Control Optim. 49:2083-2100, 2011
doi: 10.1137/100784667
Preprint

[238] Karush Kuhn Tucker conditions for non-smooth mathematical programming in function spaces
K. ITO and K. KUNISCH
SIAM Journal on Control and Optimization, 49(5):2133–2154, 2011
doi: 10.1137/100817061
Preprint

[237] Algorithms for PDE constrained optimization
R. HERZOG and K. KUNISCH
GAMM, 33:163-176, 2010
doi: 10.1002/gamm.201010013
Preprint

[236] Shape design optimization for viscous flows in open channel with a bump and an obstacle
H. KASUMBA and K. KUNISCH
Methods and Models in Automation and Robotics:284-289, 2010
doi: 10.1109/MMAR.2010.5587219

[235] Novel concepts for nonsmooth optimization and their impact on science and technology
K. ITO and K. KUNISCH
in: "Proceedings of the International Congress of Mathematicians" vol. IV, B. Rajendra (ed.), Hindustan Book Agency, 3061-3090, 2010
Preprint

[234] Semismooth Newton methods for an optimal boundary control problem of wave equations
A. KRÖNER, K. KUNISCH and B. VEXLER
in: "Recent Advances in Optimization and its Applications in Engineering", M. Diehl, F. Glineur, E. Jarlebring, W. Michiels (eds.), Springer, 389-398, 2010
doi: 10.1007/978-3-642-12598-0_33
Preprint

[233] Adaptive and higher order numerical solution for optimal control of monodomain equations in cardiac electrophysiology
K. KUNISCH and C. NAGAIAH
Applied Numerical Mathematics 61: 53-65, 2011
doi: 10.1016/j.apnum.2010.08.004
Preprint

[232] An optimal L∞ state constraint problem
C. CLASON, K. ITO and K. KUNISCH
ESAIM: M2AN, 45: 505-522, 2011
doi: 10.1051/m2an/2010064
Preprint

[231] Obstacle problems with cohesion: A hemi-varitional inequality approach and its efficient numerical solution
M. HINTERÜLLER, V.A. KOVTUNENKO and K. KUNISCH
SIAM Journal on Optimization 21: 491-516, 2011
doi: 10.1137/10078299
Preprint

[230] Optimal control for an elliptic system with convex polygonal control constraints
K. KUNISCH and X. LU
IMA Journal of Numerical Analysis 33:875-897, 2013
doi: 10.1093/imanum/drs029
Preprint

[229] Path-following for optimal control of stationary variational inequalities
K. KUNISCH and D. WACHSMUTH
Computational Optimization and Applications 51:1345-1373, 2012
doi: 10.1007/s10589-011-9400-8

[228] Optimal control for elliptic systems with pointwise euclidean norm constraints on the controls
K. KUNISCH and X. LU
Mathematical Programming 142:461-483, 2013
doi: 10.1007/s10107-012-0587-y

[227] A duality-based splitting method for l1-TV image restoration with automatic regularization parameter choice
C. CLASON, B. JIN and K. KUNISCH
SIAM Journal on Scientific Computing 32: 1484-1505, 2010
doi: 10.1137/090768217
Preprint

[226] Sufficient optimality conditions and semi-smooth Newton methods for optimal control of stationary variational inequalities
K. KUNISCH and D. WACHSMUTH
ESAIM: COCV 2:520-548, 2012
doi: 10.1051/cocv/2011105
Preprint

[225] Optimal control for an elliptic system with polygonal state constraints
K. KUNISCH, L. KEWEI and L. XILIANG
SIAM J. Control Optim. 48:5053–5072, 2010
doi: 10.1137/090758155
Preprint

[224] Total generalized variation
K. BREDIES, K. KUNISCH and T. POCK
SIAM J. Imaging Sci. 3: 492-526, 2010
doi: 10.1137/090769521
Preprint

[223] Semismooth Newton methods for optimal control of the wave equation with control constraints
A. KRÖNER, K. KUNISCH and B. VEXLER
SIAM J.Control Optim. 49: 830-858, 2011
doi: 10.1137/090766541
Preprint

[222] Semi-smooth Newton methods for time-optimal control for a class of ODEs
K. ITO and K. KUNISCH
SIAM Journal on Control and Optimization, 48:3997–4013, 2010
doi: 10.1137/090753905

[221] Adaptive finite element approximation for a class of parameter esimation problems
K. KUNISCH, W.B. LIU, Y.Z. CHANG, N.N. YAN and R. LI
Journal of Computational Mathematics, 28:1-31, 2010
doi: 10.4208/jcm.2009.10-m1016

[220] Optimal control of parabolic variational inequalities
K. ITO and K. KUNISCH
Journal de Mathematiques Pures et Appliquees, 93:329-360, 2010
doi: 10.1016/j.matpur.2009.10.005

[219] Feedback solutions for a class of quantum control problems
K. ITO, K. KUNISCH and Q. ZHANG
International Series of Numerical Mathematics, 158:155-170, 2009
doi: 10.1007/978-3-7643-8923-9_9
Preprint

[218] Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology
K. KUNISCH, C. NAGAIAH and G. PLANK
Computational Optimization and Applications 49: 149–178, 2011
doi: 10.1007/s10589-009-9280-3

[217] A duality-based approach to elliptic control problems in non-reflexive Banach spaces
C. CLASON and K. KUNISCH
ESAIM: COCV, 17:243-266, 2011
doi: 10.1051/cocv/2010003
Preprint

[216] A semismooth Newton method for L1 data fitting with automatic choice of regularization parameters and noise calibration
C. CLASON, B. JIN and K. KUNISCH
SIAM Journal on Imaging Sciences, 3:199-231, 2010
doi: 10.1137/090758003

[215] A Papkovich-Neuber-based numerical approach to cracks with contact in 3D
M. HINTERMÜLLER, V. KOVTUNENKO and K. KUNISCH
IMA Journal of Applied Mathematics, 74:325-343, 2009
doi: 10.1093/imamat/hxp017

[214] On the shape derivative for problems of Bernoulli type
J. HASLINGER, K. ITO, T. KOZUBEK, K. KUNISCH and G. PEICHL
Interfaces and Free Boundaries 11:317-330, 2009
doi: 10.4171/IFB/213

[213] PDE-constrained optimization subject to pointwise control and zero- or first-order state constraints
M. HINTERMÜLLER and K. KUNISCH
SIAM Journal on Optimization, 20:1133-1156, 2009
doi: 10.1137/080737265
Preprint

[212] Optimal snapshot location for computing POD basis functions
K. KUNISCH and S. VOLKWEIN
ESAIM: M2AN 44:509-529, 2010
doi: 10.1051/m2an/2010011
Preprint

[211] Optimal control of coupled systems of PDE
J.C. DE LOS REYES and K. KUNISCH
International Series on Numerical Mathematics, Birkhäuser Basel, 158: 105-122, 2009
doi: 10.1007/978-3-7643-8923-9_6

[210] Optimal control for multi-phase fluids stokes problems
K. KUNISCH and X. LU
Nonlinear Analysis Series A:Theory, Methods and Applications 74: 585-599, 2011
doi: 10.1016/j.na.2010.09.014
Preprint

[209] Semi-smooth newton methods for the Signorini problem
K. ITO and K. KUNISCH
Applications of Mathematics, 53:455-468, 2008
doi: 10.1007/s10492-008-0036-7
Preprint

[208] Reduced order optimal control based on approximate inertial manifolds
K. ITO and K. KUNISCH
SIAM J. Numerical Analysis, 46:2867-2891, 2008
doi: 10.1137/060666421
Preprint

[207] A semi-smooth Newton method for solving elliptic equations with gradient constraints
R. GRIESSE and K. KUNISCH
ESAIM: MMAN, 43:209-238, 2009
doi: 10.1051/m2an:2008049
Preprint

[206] Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velocities
V.A. KOVTUNENKO, K. KUNISCH and W. RING
Computing and Visualization in Science 12: 397, 2009
doi: 10.1007/s00791-008-0125-x

[205] Approximate nullspace iterations for KKT 
K. ITO, K. KUNISCH, V. SCHULZ and I. GHERMAN
SIAM Journal on Matrix Analysis and Applications, 31:1835-1847, 2010
doi: 10.1137/080724952
Preprint

[204] Optimal control of partial differential equations with affine control constraints
J.C. DE LOS REYES and K. KUNISCH
Control and Cybernetics, 38:1217-1249, 2009

[203] Asymptotic properties of feedback solutions for a class of quantum control problems
K. ITO and K. KUNISCH
SIAM J. Control and Optimization, 48:2323-2343, 2009
doi: 10.1137/080720784
Preprint

[202] Stationary optimal control problems with pointwise state constraints
M. HINTERMÜLLER and K. KUNISCH
Lecture Notes in Computational Science and Engineering, 72, 2009
Preprint

[201] Constrained Dirichlet boundary control in L2 for a class of evolution equations
B. VEXLER and K. KUNISCH
SIAM J. Control and Optimization, 46:1726-1753, 2007
doi: 10.1137/060670110
Preprint

[200] Trading regions under proportional transaction costs
K. KUNISCH and J. SASS
K.-H. Waldmann and U.M. Stocker, Operations Research Proceedings, Springer, Berlin, 563-568, 2006
doi: 10.1007/978-3-540-69995-8_89
Preprint

[199] Variational approach to shape derivates
K. ITO, K. KUNISCH and G. H. PEICHL
ESAIM: COCV, 14:517-539, 2008
doi: 10.1051/cocv:2008002
Preprint

[198] Proper orthogonal decomposition for optimality systems
K. KUNISCH and S. VOLKWEIN
ESAIM: Math. Modelling and Num. Analysis, 42:1-23, 2008
doi: 10.1051/m2an:2007054
Preprint

[197] Constrained optimization for interface cracks in composite materials subject to non-penetration conditions
M. HINTERMÜLLER, V.A. KOVTUNENKO and K. KUNISCH
J. Engineering Mathematics, 59:301-321, 2007
doi: 10.1007/s10665-006-9113-7

[196] A semi-smooth Newton method for regularized state-constrained optimal control of the Navier-Stokes equations
J. C. DE LOS REYES and K. KUNISCH
Computing, Vol. 78:287-309, 2006
doi: 10.1007/s00607-006-0183-1
Preprint

[195] On the choice of the cost functional for optimal vortex reduction for instationary flows
K. KUNISCH and B. VEXLER
Proceedings of Conference on Active Flow, 339-352 Control, Berlin 2006, Springer Verlag 2007
doi: 10.1007/978-3-540-71439-2_21

[194] Optimal control for a stationary MHD system in velocity-current formulation
R. GRIESSE and K. KUNISCH
SIAM J. Control and Optimization, 45:1822-1845, 2006
doi: 10.1137/050624236
Preprint

[193] Inverse problems for elastohydrodynamic models
M. HINTERMÜLLER and K. KUNISCH
ZAMM Z. angew. Math. Mech., 81.17-20, 2001

[192] Shape differentiability of the solution to a fictitious domain formulation
J. HASLINGER, T. KOZUBEK, K. KUNISCH and G. PEICHL
Advances in Mathematical Sciences and Applications 16:95-109, 2006

[191] Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
J. HASLINGER, T. KOZUBEK, K. KUNISCH and G. PEICHL
Computational Optimization and Applications 26:231-251, 2003
doi: 10.1023/A:1026095405906

[190] Optimal bilinear control of an abstract Schrödinger equation
K. ITO and K. KUNISCH
SIAM Journal on Control and Optimization, 46:274-287, 2007
doi: 10.1137/05064254X
Preprint

[189] Optimal control of obstacle problems by H1-obstacles
K. ITO and K. KUNISCH
Appl. Math. and Optim., 56:1-17, 2007
doi: 10.1007/s00245-007-0877-6
Preprint

[188] Feasible and non-interior path-following in constrained minimization with low multiplier regularity
M. HINTERMÜLLER and K. KUNISCH
SIAM J. Control and Optim., 45:1198-1221, 2006
doi: 10.1137/050637480
Preprint

[187] Problem of crack perturbation based on level sets and velocities
V. KOVTUNENKO and K. KUNISCH
ZAMM Z. angew. Math. Mech., 87:809-830, 2007
doi: 10.1002/zamm.200510354

[186] Optimal cortex reduction for instationary flows based on translation invariant cost functionals
K. KUNISCH and B. VEXLER
SIAM J. Control and Optimization, 46:1368-1397, 2007
doi: 10.1137/050632774

[185] Convergence of the primal-dual active set strategy for diagonally dominant systems
K. ITO and K. KUNISCH
SIAM J. Control and Optimization, 46:14-34, 2007
doi: 10.1137/050632713

[184] A globalization strategy for the multigrid solution of elliptic optimal control problems
A. BORZI and K. KUNISCH
Optimization Methods and Software, 21:445-459, 2006
doi: 10.1080/10556780500099944
Preprint

[183] Optimal control of vortices control in non-homogeneous Navier-Stokes flows
S. CHAABANE, J. FERCHICHI and K. KUNISCH
Nonlinear Analysis. 66:2618-2634, 2007
doi: 10.1016/j.na.2006.03.044

[182] Parabolic variational inequalities: The Lagrange multiplier approach
K. ITO and K. KUNISCH
Journal de Math. Pures et Appl., 85:415-449, 2006
doi: 10.1016/j.matpur.2005.08.005
Preprint

[181] Generalized Newton methods for the 2D-Signorini contact problem with friction
K. KUNISCH, G. STADLER
ESAIM: M2AN, 39:827-854, 2005
doi: 10.1051/m2an:2005036
Preprint

[180] Some suboptimal strategies for numerical realisation of large scale optimal control problems
K. KUNISCH
SIAM Frontiers in Appl. Math., R. Smith and M. Demetrion eds., Philadelphia, 237-256, 2003
Preprint

[179] On the semi-smooth Newton method and its globalization
K. ITO and K. KUNISCH
Mathematical Programming, 118:347-370, 2009
doi: 10.1007/s10107-007-0196-3

[178] A multigrid scheme for elliptic constrained optimal control problems
A. BORZI, K. KUNISCH
Comp. Optim. and Appl., 31:309-333, 2005
doi: 10.1007/s10589-005-3228-z
Preprint

[177] Non-smooth optimization for interface cracks in composite materials with non-penetration conditions
M. HINTERMÜLLER, V. A. KOVTUNENKO and K. KUNISCH
Free and Moving Boundaries: Analysis, Simulation and Control, Lecture Notes in Pure and Applied Mathematics 252, Chapman & Hall/CRC, 283-298, 2007
Preprint

[176] Path-following methods for a class of constrained minimization problems in function space
M. HINTERMÜLLER and K. KUNISCH
SIAM J. on Optimization, 17:159-187, 2006
doi: 10.1137/040611598
Preprint

[175] Reduced order control based on approximate inertial manifolds
K. ITO and K. KUNISCH
Linear Algebra and its Applications, 415:531-541, 2006
doi: 10.1016/j.laa.2004.10.019
Preprint

[174] Variational approach to shape derivatives for a class of Bernoulli problems
K. ITO, K. KUNISCH and G. PEICHL
Journal of Math. Anal. and Appl., 314:126-149, 2006
doi: 10.1016/j.jmaa.2005.03.100
Preprint

[173] Suboptimal feedback control of flow separation by POD model reduction
K. KUNISCH and L. XIE
SIAM Computational Science & Engineering, 12:233-250, 2006
doi: 10.1137/1.9780898718935.ch12
Preprint

[172] POD-based feedback control of the Burgers equation by solving the evolutionary HJB equation
K. KUNISCH and L. XIE
Computers and Mathematics with Appl., 49:1113-1126, 2005
doi: 10.1016/j.camwa.2004.07.022
Preprint

[171] Receding horizon control with incomplete observations
K. ITO and K. KUNISCH
SIAM J. Control and Optimization, 45:207-225, 2006
doi: 10.1137/S0363012903437988
Preprint

[170] Generalized Newton methods for crack problems with non-penetration condition
M. HINTERMÜLLER, V. A. KOVTUNENKO and K. KUNISCH
Num. Methods of Part. Diff. Equations, 21:586-610, 2005
doi: 10.1002/num.20053
Preprint

[169] Semi-smooth Newton methods for a class of unilaterally constrained variational problems
M. HINTERMÜLLER, V. A. KOVTUNENKO and K. KUNISCH
Adv. in Math. Sci. and Appl., 14:513-535, 2004
Preprint

[168] Dynamical system based optimal control of incompressible fluids. Boundary control
Y. SPASOV and K. KUNISCH
Boundary control, European Journal of Mechanics B/Fluids, 25:153-163, 2006
doi: 10.1016/j.euromechflu.2005.06.004

[167] A comparison of algorithms for control constrained optimal control of the Burgers equation
J. C. de los REYES and K. KUNISCH
Calcolo 41:203-225, 2004
doi: 10.1007/s10092-004-0092-7
Preprint

[166] A semi-smooth Newton method for control constrained optimal control of the Navier Stokes equations
J. C. de los REYES and K. KUNISCH
Nonlinear Analysis, 62:1289-1316, 2005
doi: 10.1016/j.na.2005.04.035
Preprint

[165] Total bounded variation regularization as bilaterally constrained optimization problems
M. HINTERMÜLLER and K. KUNISCH
SIAM J. Appl. Mathematics, 64:1311-1333, 2004
doi: 10.1137/S0036139903422784
Preprint

[164] Differentiability properties of the L1-tracking functional and application to the Robin inverse Problem
S. CHAABANE, J. FERCHICHI and K. KUNISCH
Inverse Problems 20:1083-1097, 2004
doi: 10.1088/0266-5611/20/4/006
Preprint

[163] HJB-POD based feedback design for the optimal control of evolution problems
K. KUNISCH, S. VOLKWEIN and L. XIE
SIAM J. on Applied Dynamical Systems, 4:701-722, 2004
doi: 10.1137/030600485
Preprint

[162] Denoising of smooth images using L1-fitting
T. KÄRKKÄINEN, K. KUNISCH and K. MAJAVA
Computing, 74:353-376, 2005
doi: 10.1007/s00607-004-0097-8
Preprint

[161] A shape optimization approach to free boundary value problems
J. HASLINGER, T. KOZUBEK, K. KUNISCH and G. PEICHL
J. Math. Anal. Appl., 290:665-685, 2004
doi: 10.1016/j.jmaa.2003.10.038
Preprint

[160] Tube methods for BV regularization
W. HINTERBERGER, M. HINTERMÜLLER, K. KUNISCH, M. v. OEHSEN and O. SCHERZER
J. Math. Imaging and Vision, 19:219-236, 2003
doi: 10.1023/A:1026276804745

[159] Dynamical Systems Based Optimal Control of Incompressible Fluids
M. HINTERMÜLLER, K. KUNISCH, Y. SPASOV and S. VOLKWEIN
International Journal for Numerical Methods in Fluids 4:345-359, 2004
doi: 10.1002/fld.725
Preprint

[158] The primal-dual active set method for a crack problem with non-penetration
M. HINTERMÜLLER, V. A. KOVTUNENKO and K. KUNISCH
IMA Journal of Applied Mathematics, 69:1-26, 2004
doi: 10.1093/imamat/69.1.1
Preprint

[157] Differentiability of the L1-tracking functional linked to the Robin inverse problem
S. CHAABANE, J. FERCHICHI and K. KUNISCH
C.R. Acad. Sci. Paris, Ser. I 337:771-776, 2004
doi: 10.1016/j.crma.2003.10.023

[156] Crank-Nicolson Galerkin proper orthogonal decomposition approximations for a general equation in fluid dynamics
K. KUNISCH and S. VOLKWEIN
Proceedings of the 18th GAMM Seminar Multigrid and related methods for optimization problems, 1-18, 2002

[155] A multigrid method for the optimal control of time-dependent reaction diffusion processes
A. BORZI and K. KUNISCH
in K.H. Hoffmann, R. Hoppe, and V. Schulz (Eds.), Fast solution of discretized optimization problems, International Series on Numerical Mathematics, Vol. 138, Birkhäuser, 2001
doi: 10.1007/978-3-0348-8233-0_4

[154] Optimal control formulation for determining optical flow
A. BORZI, K. ITO and K. KUNISCH
SIAM J. Sci. Comp., 24:818-847, 2002
doi: 10.1137/S1064827501386481

[153] Semi-smooth Newton methods for state-constrained optimal control problems
K. ITO and K. KUNISCH
Systems and Control Letters, 50:221-228, 2003
doi: 10.1016/S0167-6911(03)00156-7

[152] Shape optimization and fictitions domain approach for solving free-boundary value problems of Bernoulli type
J. HASLINGER, T. KOZUBEK, K. KUNISCH and G. PEICHL
Comp. Optimization and Applications, 26:231-251, 2003
doi: 10.1023/A:1026095405906

[151] The primal-dual active set method for nonlinear optimal control problems with bilateral constraints
K. ITO and K. KUNISCH
SIAM J. on Control and Optimization, 43:357-376, 2004
doi: 10.1137/S0363012902411015

[150] Second order methods for boundary control of the instationary Navier-Stokes system
M. HINZE and K. KUNISCH
Zeitschrift fr Angewandte Mathematik und Mechanik, 84:171-187, 2004
doi: 10.1002/zamm.200310094

[149] Semi-smooth Newton methods for variational inequalities of the first kind
K. ITO and K. KUNISCH
Mathematical Modelling and Numerical Analysis, 37:41-62, 2002
doi: 10.1051/m2an:2003021

[148] Augmented Lagrangian active set methods for obstacle problems
T. KÄRKKÄINEN, K. KUNISCH und P. TARVAINEN
J. Optimization Theory and Appl., 119:499-533, 2003
doi: 10.1023/B:JOTA.0000006687.57272.b6

[147] Accuracy and convergence of the finite difference multigrid solution of an optimal control optimality system
A. BORZI, K. KUNISCH und D. Y. KWAK
SIAM Journal on Control and Optimization, 41:1477-1497, 2003
doi: 10.1137/S0363012901393432

[146] Receding horizon control for infinite dimensional systems
K. ITO and K. KUNISCH
ESAIM, Control, Optimization and Calculus of Variations, 8:741-760, 2002
doi: 10.1051/cocv:2002032

[145] The output least squares identifiability of the diffusion coefficient from an H1 - observation in a 34 2-D elliptic equation
G. CHAVENT and K. KUNISCH
ESAIM, Control, Optimization and Calculus of Variations, 8:423-440, 2002
doi: 10.1051/cocv:2002028

[144] The primal-dual active set strategy as a semi-smooth Newton method
M. HINTERMÜLLER, K. ITO and K. KUNISCH
SIAM Journal on Optimization, 13:865-888, 2002
doi: 10.1137/S1052623401383558

[143] An optimal control approach to optical flow computation
A. BORZI, K. ITO and K. KUNISCH
Int. J. Numerical Methods in Fluids, 40:231-240, 2002
doi: 10.1002/fld.273

[142] Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics
K. KUNISCH and S. VOLKWEIN
SIAM Journal on Numerical Analysis, 40:492-515, 2002
doi: 10.1137/S0036142900382612

[141] Level-set function approach to an inverse interface problem
K. ITO, K. KUNISCH and Z. LI
Inverse Problems, 17, 5:1225-1242, 2001
doi: 10.1088/0266-5611/17/5/301

[140] On the regularization and the numerical treatment of the inf-sup condition for saddle point problems
K. ITO, K. KUNISCH and G. PEICHL
Computational and Applied Mathematics, 21:245-274, 2002

[139] On the structure of the Lagrange multiplier for state-constrained optimal control problems
M. BERGOUNIOUX und K. KUNISCH
Systems and Control Letters, 48:169-176, 2002
doi: 10.1016/S0167-6911(02)00262-1

[138] An infeasible active set method for convex problems with simple bounds
K. KUNISCH and F. RENDL
SIAM Journal on Optimization, 14:35-52, 2003
doi: 10.1137/S1052623400376135

[137] On asymptotic properties of receding horizon optimal control
K. ITO and K. KUNISCH
SIAM J. on Control and Optimization, 40:1585-1610, 2001
doi: 10.1137/S0363012900369423

[136] BV-type regularization methods for convoluted objects with edge-flat-grey scales
K. ITO and K. KUNISCH
Inverse Problems, 65:273-298, 2000
doi: 10.1088/0266-5611/16/4/303

[135] A multi-grid approach to the optimal control of solid fuel ignition problems
A. BORZI, K. KUNISCH and M. VANMAELE
Lecture Notes in Computational Science and Engineering, 14:59-65, 2000
doi: 10.1007/978-3-642-58312-4_7

[134] Galerkin proper orthogonal decomposition methods for parabolic systems
K. KUNISCH and S. VOLKWEIN
Numerische Mathematik, 90:117-148, 2001
doi: 10.1007/s002110100282

[133] Active set strategy for constrained optimal control problems: the finite dimensional case
M. BERGOUNIOUX and K. KUNISCH
Lecture Notes in Economics and Mathematical Sciences, 481:36-54, 2000
doi: 10.1007/978-3-642-57014-8_3

[132] Three control methods for time-dependent fluid flow
M. HINZE and K. KUNISCH
Journal of Flow, Control and Combustion, 65:273-298, 2000
doi: 10.1023/A:1011417305739

[131] The numerical solution of the steady state solid fuel ignition model and its optimal control
A. BORZI and K. KUNISCH
SIAM Journal on Scientific Computing, 22:263-284, 2000
doi: 10.1137/S1064827599360194

[130] Second order methods for optimal control of time - dependent fluid flow
M. HINZE and K. KUNISCH
SIAM Journal Control and Optimization, 40:925-946, 2001
doi: 10.1137/S0363012999361810

[129] Optimal control of the solid fuel ignition model
A. KAUFFMANN and K. KUNISCH
ESAIM: Proceedings, 8:65-76, 2000
doi: 10.1051/proc:2000005

[128] Embedding domain technique representation of the gradient for some shape optimiation problems
K. KUNISCH and G. PEICHL
Advances in Mathematical Sciences and Applications, 9:717-736,1999

[127] Primal-dual active set strategy for a general class of constrained optimal control problems
K. KUNISCH and A. RÖSCH
SIAM Journal on Optimization, 13:321-334, 2002
doi: 10.1137/S1052623499358008

[126] Sub-optimal control of transient non-isothermal viscoelastic fluid flows
K. KUNISCH and X. MARDUEL
Physics of Fluids, 13:2478-2491, 2001
doi: 10.1063/1.1384869

[125] New results on the non-linearity and the sensitivity of the estimation of the diffusion coefficient in a 2D elliptic equation
G. CHAVENT and K. KUNISCH
Proc. of Inverse Problems in Engineering: Theory and Practice, 3rd Int. Conf. on Inverse Problems in Engineering, Port Ludlow, Juni 1999

[124] Optimal control of the solid fuel ignition model with H1-cost
K. ITO and K. KUNISCH
SIAM Journal Control and Optimization, 40:1585-1610, 2001
doi: 10.1137/S0363012900366042

[123] Control of Burgers' equation by reduced order approach using proper orthogonal decomposition
K. KUNISCH and St. VOLKWEIN
Journal of Optimization Theory and Applications, 102:345- 371,1999
doi: 10.1023/A:1021732508059

[122] Primal-dual active set strategy for state constrained optimal control problems
M. BERGOUNIOUX and K. KUNISCH
Computational Optimization and Applications, 22:193-224, 2002
doi: 10.1023/A:1015489608037

[121] Optimal control of stationary viscoelastic fluids
K. KUNISCH and X. MARDUEL
Journal of Non-Newtonian Fluid Mechanics, 88:261-301, 2000
doi: 10.1016/S0377-0257(99)00021-X

[120] Optimal control
K. ITO and K. KUNISCH
Encyclopedia of Electrical and Electronic Engineering, Editor Webster, Vol. 15:364-379, John Wiley and Sons, New York, 1999

[119] A comparison of a Moreau-Yosida based active strategy and interior point methods for constrained optimal control problems
M. BERGOUNIOUX, M. HADDOU, M. HINTERMÜLLER and K. KUNISCH
SIAM J. on Optimization, 11:495-521, 2000
doi: 10.1137/S1052623498343131

[118] Instantaneous control of backward facing step flow
H. CHOI, M. HINZE and K. KUNISCH
Applied Numerical Mathematics, 31:133-158,1999
doi: 10.1016/S0168-9274(98)00131-7

[117] Numerical gradients for shape optimization based on embedding domain techniques
K. KUNISCH and G. PEICHL
Comp. Optimization and Applications, 18:95-114, 2001
doi: 10.1023/A:1008779803348

[116] Iterative choices of regularization parameters in linear inverse problems
K. KUNISCH and J. ZOU
Inverse Problems, 14:1247-1264, 1998
doi: 10.1088/0266-5611/14/5/010

[115] On suboptimal control strategies for the Navier-Stokes equations
M. HINZE and K. KUNISCH
ESAIM: Proceedings, 4:181-198, 1998
doi: 10.1051/proc:1998028

[114] Some applications of BV functions in optimal control and calculus of variations
E. CASAS, K. KUNISCH and C. POLA
ESAIM: Proceedings, 4:181-198, 1998
doi: 10.1051/proc:1998022

[113] Optimal control of elliptic variational inequalities
K. ITO and K. KUNISCH
Applied Mathematics and Optimization, 41:343-364, 2000
doi: 10.1007/s002459911017

[112] Primal-dual strategy for constrained optimal control problems
M. BERGOUNIOUX, K. ITO and K. KUNISCH
SIAM J. Control and Optimization, 37:1176-1194, 1999
doi: 10.1137/S0363012997328609

[111] Suboptimal control of fluid flows
M. HINZE and K. KUNISCH
SOR-Proceedings, Jena 1997, eds Kischka et al

[110] Suboptimal control strategies for backward facing step flows
M. HINZE and K. KUNISCH
Proceedings of 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Editor A. Sydow, Vol. 3:53-58, 1997

[109] Newton's method for a class of weakly singular optimal control problems
K. ITO and K. KUNISCH
SIAM J. on Optimization, 109:896-916, 1999
doi: 10.1137/S1052623497320840

[108] Augmented-Lagrangian-SQP-techniques and their approximation
K. KUNISCH and S. VOLKWEIN
in Contemporary Mathematics, Optimization Methods in Partial Differential Equations, 209:147-160, 1997

[107] Nonoverlapping domain decomposition methods for inverse problems
K. KUNISCH and X. TAI
Proceedings of 9th International Conference on Domain Decompostion Methods, Editors P. Bjorstard, M. Espedal and D. Keyes, John Wiley and Sons, 1997

[106] Augmented Lagrangian algorithms for state constrained optimal control problems
M. BERGOUNIOUX and K. KUNISCH
International conference in Austria, Birkhäuser, Int. Ser. Numer. Math. 126:33-48, 1998

[105] Regularization of linear least squares problems by total bounded variation
G. CHAVENT and K. KUNISCH
ESAIM, Control, Optimization and Calculus of Variations, 2:359-376, 1997
doi: 10.1051/cocv:1997113

[104] Regularization by functions of bounded variation and applications to image enhancement
E. CASAS, K. KUNISCH and C. POLA
Appl. Math. and Optimization, 40:229-258, 1999
doi: 10.1007/s002459900124

[103] Primal-dual formulations for parameter estimation problems
G. CHAVENT, K. KUNISCH and J. E. ROBERTS
Computational and Applied Mathematics, 18:165-212, 1999

[102] Augmented Lagrangian techniques for elliptic state constrained optimal control problems
M. BERGOUNIOUX and K. KUNISCH
SIAM J. Control and Optimization, 35:1524-1543, 1997
doi: 10.1137/S036301299529330X

[101] Shape optimization for mixed boundary value problems based on an embedding domain method
K. KUNISCH and G. PEICHL
will be published in: Dynamics of Continuous, Discrete and Impulsive Systems, 4:439-478, 1998

[100] Estimation of the convection coefficient in elliptic equations
K. ITO and K. KUNISCH
Inverse Problems, 13:995-1013, 1997
doi: 10.1088/0266-5611/13/4/007

[99] Augmented Lagrangian formulation of nonsmooth
K. ITO and K. KUNISCH
Convex Optimization in Hilbert Spaces, in: Lecture Notes in Pure and Applied Mathematics. Control of Partial Differential Equations and Applications, E. CASAS, Ed., Marcel Dekker, Vol. 174:107-117, 1995

[98] Control and estimation of the boundary heat transfer function in Stefan problems
V. BARBU, K. KUNISCH, and W. RING
RAIRO, Math. Mod. and Num. Analysis, 30:1-40, 1996

[97] Numerical methods for parameter estimation problems
K. KUNISCH
will be published in: GAMM-SIAM Proceedings on Inverse Problems in Diffusion Processes, 199-216, 1995

[96] An active set strategy based on the augmented Lagrangian formulation for image restoration
K. ITO und K. KUNISCH
RAIRO, Math. Mod. and Num. Analysis, 33:1-21, 1999
doi: 10.1051/m2an:1999102

[95] Identifying the nonlinearity in a parabolic boundary value problem
V. BARBU and K. KUNISCH
in: Optimal Control of Differen- tial Equations, N.H. PAVEL, Ed., Marcel Dekker, New York, 29-37, 1994

[94] On weakly nonlinear inverse problems
G. CHAVENT and K. KUNISCH
SIAM J. on Applied Mathematics, Vol. 56(2):542-572, 1996
doi: 10.1137/S0036139994267444

[93] Augmented Lagrangian methods for non-smooth convex optimization in Hilbert spaces
K. ITO and K. KUNISCH
Nonlinear Analysis, Theory, Methods and Applications, 41:573-589, 2000
doi: 10.1016/S0362-546X(98)00299-5

[92] Identification of nonlinear parabolic equations
V. BARBU and K. KUNISCH
Control Theory and Advanced Technology, Vol. 10(4):1959-1980, 1995

[91] MATLAB-Software for parametric estimation in two point boundary value problems
M. KROLLER and K. KUNISCH
in: Identification and Control of Systems governed by Partial Differential Equations, H. T. BANKS, R. H. FABIANO, K. ITO, Eds., SIAM, Philadelphia, 59-68, 1993

[90] Augmented Lagrangian-SQP-methods for nonlinear optimal control problems of tracking type
K. ITO and K. KUNISCH
SIAM J. Control and Optimization, Vol. 34(3):874-891, 1996
doi: 10.1137/S0363012994261707

[89] Sequential and parallel splitting methods for bilinear control problems in Hilbert spaces
K. KUNISCH and X. TAI
SIAM J. on Num. Analysis, Vol. 34(1):91-118, 1997
doi: 10.1137/S0036142993255253

[88] State space regularization: Geometric theory
G. CHAVENT and K. KUNISCH
Appl. Math. and Optimization, 37:243-268, 1998
doi: 10.1007/s002459900076

[87] Augmented Lagrangian SQP-methods in Hilbert spaces and application to control in the coefficients problems
K. ITO and K. KUNISCH
SIAM J. on Optimization, Vol. 6(1):96-125, 1996
doi: 10.1137/0806007

[86] Identifiability of spatially-varying parameters in distributed systems of parabolic type by continuous interior observations
K. KUNISCH and S. NAKAGIRI
Control Theory and Advanced Technology, Vol. 10(4):2065-2082, 1995

[85] On a class of damped Morozov principles
K. KUNISCH
Computing, 50:185-198, 1993
doi: 10.1007/BF02243810

[84] Identification of nonlinear elliptic equations
V. BARBU and K. KUNISCH
Applied Mathematics and Optimization 33:139-167, 1996
doi: 10.1007/s002459900007

[83] Estimation of the onductivity in the one-phase Stefan problem: Numerical results
K. KUNISCH, K. MURPHY, and G. PEICHL
RAIRO, Math. Mod. and Num. Analysis, 27:613-650, 1993

[82] Optimal a-posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problem
O. SCHERZER, H. W. ENGL, and K. KUNISCH
SIAM J. Numerical Analysis, 30:1796-1838, 1993
doi: 10.1137/0730091

[81] Convergence of Tikhonov regularization for constrained ill-posed inverse problems
G. CHAVENT and K. KUNISCH
Inverse Problems 10:63-76, 1994
doi: 10.1088/0266-5611/10/1/006

[80] Maximizing robustness in nonlinear illposed inverse problems
K. ITO and K. KUNISCH
SIAM J. Control and Optimization, 33:643-666, 1995
doi: 10.1137/S0363012992230982

[79] Sensitivity measures for the estimation of parameters in 1-D elliptic boundary value problems
K. ITO and K. KUNISCH
J. of Mathematical Systems, Estimation, and Control, Vol. 6(2):195-218, 1996

[78] Regularization in state space
G. CHAVENT and K. KUNISCH
RAIRO, Journal on Numerical Analysis, 27:535-564, 1993

[77] Regularization of nonlinear illposed problems with closed operators
K. KUNISCH and W. RING
Numerical Functional Analysis and Optimization, 14:389-404, 1993
doi: 10.1080/01630569308816529

[76] L1-identifiability of the transmissivity coefficient
G. VAINIKKO and K. KUNISCH
Zeitschrift fr Analysis und ihre Anwendungen, 12:327-341, 1993

[75] Estimation of interfaces from boundary measurements
K. KUNISCH and X. PAN
SIAM J. Control and Optimization, Vol. 32, 6:1643-1674, 1994
doi: 10.1137/S0363012992226338

[74] Estimation of conductivity in the one-phase Stefan problem I: Basic results
K. KUNISCH, K. MURPHY, and G. PEICHL
Bolletino della Unione Matematica Italiana, 7:77-103, 1995

[73] Parameter estimation in the Stefan problem
K. KUNISCH, K. MURPHY, and G. PEICHL
in "Computation and Control II", Birkhäuser, Boston, 247-262, 1991

[72] A Geometric theory for the L2-stability of the inverse problem in a 1-D-elliptic equation from H1-observations
G. CHAVENT and K. KUNISCH
Appl. Math. and Optimization, 27:231-260, 1993
doi: 10.1007/BF01314817

[71] Reduced SQP-methods for parameter identification problems
K. KUNISCH and E. SACHS
SIAM J. Numerical Analysis, 29:1793- 1820, 1992
doi: 10.1137/0729100

[70] On the injectivity and linearization of the coefficient-to-solution mapping for elliptic boundary value problems
K. ITO and K. KUNISCH
J. of Math. Anal. and Appl., Vol. 188, 3:1040-1066, 1994
doi: 10.1006/jmaa.1994.1479

[69] Sensitivity analysis for optimization problems in Hilbert spaces with bilateral constraints
F. COLONIUS and K. KUNISCH
Journal of Mathematical Systems, Estimation, and Control, 3:265-299, 1993

[68] Mathematical models for the elastic beam with structural damping
G. Di BLASIO, K. KUNISCH and E. SINESTRARI
Applicable Analysis, 48:133-156, 1993
doi: 10.1080/00036819308840155

[67] On the choice of the regularization parameter in nonlinear inverse problems
K. ITO and K. KUNISCH
SIAM J. on Optimization, 2:1-29, 1992
doi: 10.1137/0802019

[66] Convergence rates for regularized nonlinear illposed problems
K. KUNISCH and G. GEYMAYER
in: Lecture Notes in Control and Information Sciences Vol. 154, Springer, Berlin, 81-92, 1991

[65] On the choice of the regularization parameter using model functions
M. KROLLER and K. KUNISCH
in: Inverse Methods in Action, P.C. Sabatier ed., Springer, Berlin, 106-113, 1990

[64] Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
K. ITO and K. KUNISCH
Journal of Differential Equations, 99:1-40, 1992
doi: 10.1016/0022-0396(92)90133-8

[63] Estimation of a boundary heat transfer coefficient
K. KUNISCH and L. WHITE
Control Theory and Advanced Technology, 7:55-72, 1991

[62] A numerical technique for the estimation of the diffusion coefficient in parabolic systems
K. KUNISCH and G. PEICHL
Proceedings of 28th IEEE Conference on Decision and Control, Tampa,  2773-2777, 1989

[61] Contributions to nonlinear inverse problems arising in parameter estimation for elliptic system
K. KUNISCH
in: Perspectives in Control Theory, Jacubczyk, Malanowski, Respondek, eds., Birkhäuser, Boston, 108-128, 1989

[60] Estimation of a temporally and spatially varying diffusion coefficient in a parabolic system by an augmented Lagrangian technique
K. KUNISCH and G. PEICHL
Numerische Mathematik, 59:473-509, 1991
doi: 10.1007/BF01385792

[59] Stability and identifiability of parameters in Galerkin approximation of distributed systems under multiple inputs
K. KUNISCH and L. WHITE
Optimal Control, Application and Methods, 12:63-71, 1991
doi: 10.1002/oca.4660120106

[58] Identifiability and stability of diffusion and restoring force in elliptic systems
J. BAUMEISTER and K. KUNISCH
Applicable Analysis, 40:263-279, 1991
doi: 10.1080/00036819108840009

[57] Stability of perturbed optimization problems with application to parameter estimation
F. COLONIUS and K. KUNISCH
Num. Func. Analysis and Optimization, 11:873-915, 1990
doi: 10.1080/01630569108816408

[56] A numerical study of the augmented Lagrangian method for the estimation of parameters in elliptic systems
K. ITO, M. KROLLER, and K. KUNISCH
SIAM J. on Sci. and Stat. Computing, 12:884-910, 1991
doi: 10.1137/0912048

[55] An augmented Lagrangian technique for variational inequalities
K. ITO and K. KUNISCH
Appl. Math. and Optimization, 21:223-241, 1990

[54] Rate of convergence for Galerkin and collocation approximations to the linear quadratic regulator problem for parabolic systems
M. KROLLER and K. KUNISCH
SIAM Journal on Numerical Analysis, 28:1350-1385, 1991
doi: 10.1137/0728071

[53] Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
H. W. ENGL, K. KUNISCH, and A. NEUBAUER
Inverse Problems, 5(4), 523-540, 1989
doi: 10.1088/0266-5611/5/4/007

[52] Dual semigroups and structural operators for partial functional differential equations with unbounded operators acting on the delays
K. KUNISCH and M. MASTINSEK
J. of Differential and Integral Equations, 3:733-756, 1990

[51] Regularity properties and strict complementarity of the output-least-squares approach to parameter estimation in parabolic systems
K. KUNISCH and L. WHITE
Inverse Problems, 5:13-33, 1988
doi: 10.1088/0266-5611/5/1/006

[50] The augmented Lagrangian method for estimating the diffusion coefficient in an elliptic equation
K. ITO and K. KUNISCH
in Proceedings of 26-th IEEE Conference on Decision and Control, Los Angeles, 1400-1404, 1987

[49] Parameter estimation in a special reaction-diffusion system modelling man-environment diseases
K. KUNISCH and H. SCHELCH
Journal of Math. Biology, 27:633-665, 1989

[48] The augmented Lagrangian method for parameter estimation in elliptic systems
K. ITO and K. KUNISCH
SIAM Journal on Control and Optimization, 28:113-136, 1990
doi: 10.1137/0328006

[47] On the shape of solutions of second order parabolic partial differential equations
K. KUNISCH and G. PEICHL
J. of Differential Equations, 75:329-353, 1988
doi: 10.1016/0022-0396(88)90142-8

[46] Rate of convergence for the estimation of a coefficient in a two point boundary value problem
K. KUNISCH
in "Inverse and Illposed Problems", H.W.Engl and C.W.Groetsch eds., Academic Press, 499-512, 1987

[45] A survey of recent results on the output least squares formulation of parameter estimation problems
K. KUNISCH
Automatica 24:531-593, 1988

[44] A reaction-diffusion system arising in modelling man-environment diseases: Basic theory
V. CAPASSO and K. KUNISCH
Quarterly of Applied Mathematics, 46:431-450, 1988

[43] Output squares stability for estimation of the diffusion coefficient in an elliptic equation
F. COLONIUS and K. KUNISCH
in: Control Problems for Systems Described by Partial Differential Equations and Applications, ed. I. Lasiecka and R. Triggiani, Springer, 185-195, 1987
doi:10.1007/BFb0038752

[42] A new approach to the stability analysis of parameter identification problems
F. COLONIUS and K. KUNISCH
Identification and System Parameter Estimation, H.A. Barker and P.C. Young, eds., Pergamon Press, 581-584, 1985

[41] The augmented Lagrangean method for equality and inequality constraints in Hilbert space
K. ITO and K. KUNISCH
Mathematical Programming, 46:341-360, 1990
doi: 10.1007/BF01585750

[40] Output least squares stability in elliptic systems
F. COLONIUS and K. KUNISCH
Applied Mathematics and Optimization, 19:33-63, 1988
doi: 10.1007/BF01448191

[39] Inherent identifiability of parameters in elliptic differential equations
K. KUNISCH
J. Math. Appl. 132:453-472, 1988
doi: 10.1016/0022-247X(88)90074-1

[38] A reaction-diffusion system modelling man-environment epidemics
V. CAPASSO and K. KUNISCH
Annals of Differential Equations 1:1-12, 1985

[37] Identifiability under approximation for an elliptic boundary value problem
K. KUNISCH and L. W. WHITE
SIAM J. Control and Optimization, 25:279-297, 1987
doi: 10.1137/0325017

[36] Invariance results for infinite delay and Volterra equations in Besov-spaces
F. KAPPEL and K. KUNISCH
Transactions of the American Mathematical Society 304:1-51, 1987

[35] Regularity properties in parameter estimation of diffusion coefficients in elliptic boundary value problems
K. KUNISCH and L. W. WHITE
Applicable Analysis 21:71-87, 1986
doi:10.1080/00036818608839584

[34] Output least squares stability for parameter estimation in two point value problems
F. COLONIUS and K. KUNISCH
Journal fr die Reine und Angewandte Mathematik, 370:1-29, 1986

[33] Retarded abstract equations in Hilbert space
G. DI BLASIO, K. KUNISCH and E. SINESTRARI
Infinite Dimensional Systems (Hrsg.~Kappel und Schappacher), Springer, 71-77, 1984
doi:10.1007/BFb0072767

[32] Approximation of feedback control for parabolic systems
H. T. BANKS and K. KUNISCH
22-nd IEEE Conference on Decision and Control, 247-251, 1983

[31] Parameter identifiability under approximation
K. KUNISCH and L. W. WHITE
Quarterly of Applied Mathematics 44:475-486, 1986

[30] Parameter estimation for the Euler-Bernoulli beam
K. KUNISCH and E. GRAIF
Matematica Aplicada e Computacional 4:95-124, 1985

[29] Parameter estimation, regularity and the penalty method for a class of elliptic problems
K. KUNISCH and L. WHITE
SIAM J. Control Optim., 25(1):100–120, 1987
doi: 10.1137/0325008

[28] The linear regulator problem for parabolic systems
H.T. BANKS and K. KUNISCH
SIAM J.Control and Optimization 22:684-698, 1984
doi: 10.1137/0322043

[27] Parameter estimation for elliptic equations in multidimensional domains with point and flux observations
K. KUNISCH and L. WHITE
Nonlinear Analysis, Theory, Methods, and Applications 10:121-146, 1986
doi: 10.1016/0362-546X(86)90041-6

[26] Stability for abstract linear functional differential equations
G. DI BLASIO, K. KUNISCH and E. SINESTRARI
Israel J.Mathematics 50:231-263, 1985
doi: 10.1007/BF02761404

[25] The parameter estimation problem for parabolic equations and discontinuous observation operators
K. KUNISCH and L. WHITE
SIAM J. Control and Optimization 23:900-927, 1985
doi: 10.1137/0323052

[24] Approximation of the state of infinite delay- and Volterra-type equations
F. KAPPEL and K. KUNISCH
in: Differenzen- Differentialgleichungen und ihre numerische Behandlung, Birkhäuser, 149-168, 1983

[23] L2-regularity for parabolic partial integrodifferential equations with delay in the highest order derivatives
G. DI BLASIO, K. KUNISCH, and E. SINESTRARI
J.Math.Anal.Appl. 102:38-57, 1984
doi: 10.1016/0022-247X(84)90200-2

[22] The solution operator for a partial differential equation with delay
G. DI BLASIO, K. KUNISCH, and E. SINESTRARI
Rend.Acc.Naz.Lincei 74:228-233, 1983

[21] Approximation of the parameter identification problem in distributed systems
K. KUNISCH
Proceedings of 3rd IFAC Symposium on Control and Distributed Parameter Systems, Toulouse, 1982

[20] Age dependent population dynamics with diffusion
K. KUNISCH, W. SCHAPPACHER, and G. F. WEBB
Comp. and Maths. with Appls. 11:155-173, 1985
doi: 10.1016/0898-1221(85)90144-0

[19] Necessary conditions for partial differential equations with delay to generate C0-semigroups
K. KUNISCH and W. SCHAPPACHER
J.Differential Equations 50:149-179, 1983
doi: 10.1016/0022-0396(83)90084-0

[18] Cubic spline approximation techniques for parameter estimation in distributed systems
H. T. BANKS, J. M. CROWLEY, and K. KUNISCH
IEEE Trans. Automatic Control 28:773-786, 1983
doi: 10.1109/TAC.1983.1103310

[17] An approximation theory for nonlinear partial differential equations with applications to identification and control
H. T. BANKS and K. KUNISCH
SIAM J.Control and Optimization 20:815-849, 1982
doi: 10.1137/0320059

[16] Identification and estimation of parameters in abstract cauchy problems
K. KUNISCH
Mathematical Control Theory, Banach Cen- ter Publications 14:279-300, 1983

[15] Parameter estimation techniques for nonlinear distributed parameter systems
H. T. BANKS and K. KUNISCH
Proceedings of Inter- national Conference on Nonlinear Phenomena in Mathematical Science, Texas, 57-68, 1980

[14] The Riccati integral equation arising in optimal control of delay differential equations
K. KUNISCH
Proceedings of International Conference on Nonlinear Phenomena in Mathematical Sciences, Texas, 611-618, 1980

[13] Approximation schemes for nonlinear neutral optimal control systems
K. KUNISCH
J.Math.Anal.Appl. 82:112-143, 1980
doi: 10.1016/0022-247X(81)90228-6

[12] Approximation schemes for the linear-quadratic optimal control problem associated with delay-equations
K. KUNISCH
SIAM J.Control and Optimization 20:506-540, 1982
doi: 10.1137/0320038

[11] A semigroup approach to partial differential equations with delay
K. KUNISCH
in: "Abstract Cauchy Problems and Functional Differential Equations", Pitman Publ., Research Notes in Mathematics, Vol.48, 53-71, 1981

[10] The quasi autonomous cauchy problem and the step method for functional differential equations
K. KUNISCH
included in the postdoctoral thesis

[9] Approximation of optimal control problems for hereditary systems of neutral type
K. KUNISCH
Berichte der Math.-Stat. Sektion im Forschungszentrum Graz, Nr. 137:65 (pages. 22), 1980

[8] Mild and strong solutions for partial differential equations with delay
K. KUNISCH and W. SCHAPPACHER
Ann. Mat. Pura Appl. 75:193-219, 1980
doi: 10.1007/BF01789412

[7] Spline approximations for neutral functional differential equations
F. KAPPEL and K. KUNISCH
SIAM J. Numerical Analysis 18:1058-1080, 1981
doi: 10.1137/0718072

[6] Variation of constants formulas for partial differential equations with delay
K. KUNISCH and W. SCHAPPACHER
J. Nonlinear Analysis, TMA, 5:123-142, 1980
doi: 10.1016/0362-546X(81)90038-9

[5] Positive solutions of functional differential equations
K. KUNISCH and W. SCHAPPACHER
in: "Approximation of Fixed-Points and Functional Differential Equations", Springer, Lecture Notes in Mathematics, 730:238-247, 1979

[4] Orderpreserving evolution operators of functional differential equations
K. KUNISCH and W. SCHAPPACHER
Boll. U. M . I. 16- B:480-500, 1979

[3] Abstract cauchy problem and abstract integral equations for neutral functional differential equations
K. KUNISCH
Archiv der Mathematik 31:580-588, 1978
doi: 10.1007/BF01226495

[2] Neutral functional-differential equations in Lp-spaces and averaging approximations
K. KUNISCH
J.Nonlinear Analysis, TMA, 3:419-448, 1979
doi: 10.1016/0362-546X(79)90060-9

[1] Neutrale Funktional-Differentialgleichungen und Halbgruppentheorie
K. KUNISCH
Berichte der Math.-Stat. Sektion im Forschungszentrum Graz, Nr. 81 (101 pages), 1978

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