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## Books

Hömberg, D. and F. Tröltzsch (Eds.), System Modeling and Optimization, IFIP AICT 391, Springer, Heidelberg 2013.

F. Tröltzsch: Optimal Control of Partial Differential Equations - Theory, Methods and Applications. Graduate Studies in Mathematics, Vol. 112. American Mathematical Society,

Providence, Rhode Island, 2010 (Translation of the second German edition below by J. Sprekels).

F. Tröltzsch: Optimale Steuerung partieller Differentialgleichungen - Theorie, Verfahren und Anwendungen, Vieweg, Wiesbaden 2005. Zweite Auflage: Vieweg+Teubner, Wiesbaden 2009.

Kunisch, K., Leugering, G., Sprekels, J. and F. Tröltzsch (Eds.): Optimal Control of Coupled Partial Differential Equations, International Series of Numerical Mathematics, Vol. 158, Birkhäuser-Verlag 2009.

Kunisch, K., Leugering, G., Sprekels, J. and F. Tröltzsch (Eds.): Control of Coupled Partial Differential Equations, International Series of Numerical Mathematics, Vol. 155, Birkhäuser-Verlag 2007.

Hoffmann, K.H., Lasiecka, I., Leugering, G., Sprekels, J. and F. Tröltzsch (Eds.): Optimal Control of Complex Structures, International Series of Numerical Mathematics, Vol. 139, Birkhäuser-Verlag 2002.

Hoffmann, K.H., Leugering, G. and F. Tröltzsch (Eds.): Optimal Control of Partial Differential Equations, International Series of Numerical Mathematics, Vol. 133, Birkhäuser 1999.

Jentsch, L. and F. Tröltzsch (Eds.): Problems and Methods in Mathematical Physics. Teubner-Texte zur Mathematik Vol. 134, B.G. Teubner, Stuttgart, Leipzig 1994.

F. Tröltzsch: Optimality conditions for parabolic control problems and applications. Teubner-Texte zur Mathematik, Vol. 62, B.G. Teubner, Leipzig 1984.

## Papers

(with V. Maksimov)

Input reconstruction by feedback control for the Schlögl and FitzHugh-Nagumo equations.

Submitted to Int. J. Appl. Math. Comput. Sci.

(with M. Gugat and M. Mateos)

Exponential stability for the Schlögl system by Pyragas feedback.

To appear in Vietnam J. of Mathematics.

(with P. Nestler, N. Schlömer, O. Klein, and J. Sprekels)

Optimal Control of Semiconductor Melts by Traveling Magnetic Fields.

Vietnam J. of Mathematics 47 (4), 2019, 793-812.

(with E. Casas)

Optimal sparse boundary control for a semilinear parabolic equation with mixed control-state constraints.

Control and Cybernetics 48 (1), 2019, 89-124.

(with E. Casas)

State-constrained semilinear elliptic optimization problems with unrestricted sparse controls.

Mathematical Control and Related Fields (MCRF), published online first, 2019doi: 10.3934/mcrf.2020009.

(with E. Casas)

Sparse optimal control for the heat equation with mixed control-state constraints.

Mathematical Control and Related Fields (MCRF), published online first, 2019doi: 10.3934/mcrf.2020007.

(with E. Casas and M. Mateos)

Optimal time delays in a class of reaction-diffusion equations.

Optimization 68 (1), 2019, 255-278.

(with E. Casas and M. Mateos)

Measure Control of a Semilinear Parabolic Equation with a Nonlocal Time Delay.

SIAM J. Control and Optimization 56 (6), 2018, 4434–4460.

(with E. Casas and C. Ryll)

Optimal control of a class of reaction diffusion equations.

Computational Optimization and Applications 70 (3), 2018, 677-707.

(with D. Wachsmuth)

On the switching behavior of sparse optimal controls for the one-dimensional heat equation.

Mathematical Control and Related Fields (MCRF), 8 (1), 2018, 135-153.

(with A. Valli)

Optimal voltage control of non-stationary eddy current problems.

Mathematical Control and Related Fields (MCRF), 8 (1), 2018, 35-56.

(with S. Nicaise)

Optimal control of some quasilinear Maxwell equations of parabolic type.

Discrete and Continuous Dynamical Systems - Ser. S, 10 (6), 2017, 1375-1391.

(with C. Ryll, J. Löber, S. Martens, H. Engel)

Analytical, optimal, and sparse optimal control of traveling wave solutions to reaction-diffusion systems.

In: ''Understanding Complex Systems'', Control of self-organizing nonlinear systems, Editors: E. Schöll, S. H.L. Klapp and P. Hövel, pp. 189-210, Springer 2016.

(with A. Valli)

Optimal control of low-frequency electromagnetic fields in multiply connected conductors.

Optimization 65 (9), 2016, 1651-1673.

(with E. Casas)

Second order optimality conditions for weak and strong local solutions of parabolic optimal control problems.

Vietnam Journal of Mathematics, 44 (1), 2016, 181-202.

(with A. Valli)

Modeling and control of low-frequency electromagnetic fields in multiply connected conductors.

In: IFIP Advances in Information and Communication Technology (IFIP AICT Series) No. 494, System Modeling and Optimization, CSMO 2015, L. Bociu, J.A. Desideri and A. Habbal (Eds.), pp. 505-516, Springer 2016.

(with P. Nestler and E. Schöll)

Optimization of nonlocal time-delayed feedback controllers.

Computational Optimization and Applications 64 (1), 2016, 265-294.

(with E. Casas and C. Ryll)

Second order and stability analysis for optimal sparse control of the FitzHugh-Nagumo equation.

SIAM J. Control Optim. 53 (4), 2015, 2168-2202.

(with E. Casas)

Second order optimality conditions and their role in PDE control.

Jahresbericht der Deutschen Mathematiker-Vereinigung, 117 (2015), 3-44.

(with M. Gugat)

Boundary feedback stabilization of the Schlögl system.

Automatica J. IFAC 51 (2015), 192-199.

(with P. Merino and I. Neitzel)

An adaptive numerical method for semi-infinite elliptic control problems based on error estimates.

Optimization Methods and Software, 30 (2015), no. 3, 492-515.

(with S. Nicaise and S. Stingelin)

Optimal control of magnetic fields in flow measurement.

Discrete and Continuous Dynamical Systems, Ser. S, 8 (2015), 579–605.

(with S. Nicaise and S. Stingelin)

On two optimal control problems for magnetic fields.

Computational Methods in Applied Mathematics 14 (2014), 555-573.

(with E. Casas)

Second-order and stability analysis for state-constrained elliptic optimal control problems with sparse controls.

SIAM J. Control and Optim. 52 (2014), 1010-1033.

(with S. Nicaise)

A coupled Maxwell integrodifferential model for magnetization processes.

Math. Nachrichten 287 (2014), 432-452.

(with K. Altmann and S. Stingelin)

On some optimal control problems for electric circuits.

Int. Journal of Circuit Theory and Applications 42 (2014), 808-830.

(with C. Prohm and H. Stark)

Optimal control of particle separation in interial manifolds.

Eur. Phys. J. E (2013) 36: 118.

(with E. Casas and C. Ryll)

Sparse optimal control of the Schlögl and FitzHugh-Nagumo systems.

Computational Methods in Applied Mathematics 13 (2013), 415-442.

(with R. Buchholz, H. Engel, and E. Kammann)

On the optimal control of the Schlögl model.

Computational Optimization and Applications 56 (2013), 153-185.

(with E. Kammann and S. Volkwein)

A-posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD.

ESAIM: Mathematical Modelling and Numerical Analysis 47 (2013), 555-581.

(with I. Yousept)

PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages.

M2AN 46 (2012), 709-729.

(with E. Casas)

Second Order Analysis for Optimal Control Problems: Improving Results Expected from Abstract Theory.

SIAM J. on Optimization 22 (2012), 261-279.

(with E. Casas)

A general theorem on error estimates with application to a quasilinear elliptic optimal control problem.

Computational Optimization and Applications 53 (2012), 173-206.

(with I. Neitzel)

Numerical analysis of state-constrained optimal control problems for PDEs.

In: G. Leugering et al. (Eds.), Constrained Optimization and Optimal Control for Partial Differential Equations, ISNM 160, 467-482, Birkhäuser, 2012.

(with E. Kammann)

A posteriori error estimation for nonlinear parabolic

boundary control. In: Emirsajlow, Z. (Ed.), 16th Int. Conference on Methods and Models in Automation and Robotics (MMAR) (2011), 80-83, IEEE Xplore Digital Library, DOI 10.1109/MMAR.2011.6031321.

(with E. Casas)

Numerical analysis of some optimal control problems governed by a

class of quasilinear elliptic equations.

ESAIM Control Optim. Calc. Variations 17 (2011), 771-800.

(with P.-E. Druet, O. Klein, J. Sprekels, and I. Yousept)

Optimal control of 3D state-constrained induction heating problems with nonlocal radiation effects .

SIAM J. Control Optim. 49 (2011), 1707-1736.

(with P. Merino and I. Neitzel)

On linear-quadratic elliptic control problems of semi-infinite type.

Applicable Analysis, 90 (2011), 1047-1074.

(with V. Dhamo)

Some aspects of reachability for parabolic boundary control problems with control constraints.

Computational Optimization and Applications 50 (2011), 75-110.

(with W. Barthel and C. John)

Optimal boundary control of a system of reaction diffusion equations.

ZAMM 90 (2010), 966-982.

(with M. Hinze)

Discrete concepts versus error analysis in pde constrained optimization.

GAMM-Mitt. 33 (2010), 148-162.

(with P. Merino and I. Neitzel)

Error Estimates for the Finite Element Discretization of Semi-infinite Elliptic Optimal Control Problems.

Discussiones Mathematicae. Differential Inclusions, Control and Optimization 30 (2010), 221-236.

(with C. John, B.R. Noack, M. Schlegel and D. Wachsmuth)

Optimal boundary control problems related to high-lift configurations..

In: King, R. (Ed.), Active Flow Control II, Notes on Numerical Fluid Mechanics

and Multidisciplinary Design Vol. 108 (2010), pp. 405-419.

On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs.

In: Lirkov, I., Margenov, S., and Wasniewski, J. (Eds.), ''Large Scale-Scientific Computing''. Lecture Notes in Computer Science, Vol. 5910, pp. 40-53. Springer, 2010.

(with E. Casas)

Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems.

ESAIM: COCV 16 (2010), 581 - 600.

(with P. Merino and B. Vexler)

Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space.

ESAIM: Mathematical Modelling and Numerical Analysis, 44 (2010), 167 - 188.

(with E. Casas)

First- and second-order optimality conditions for a class of optimal control problems with quasilinear elliptic equations.

SIAM J. Control and Optimization 48 (2009), 688-718.

(with E. Casas)

Recent advances in the analysis of state-constrained elliptic optimal control problems.

In: K. Kunisch, G. Leugering, J. Sprekels, F. Tröltzsch (Eds.),

Optimal Control of Coupled Systems of Partial Differential Equations,

ISNM 158, pp. 57-72, Birkhäuser 2009.

(with S. Volkwein)

POD a-posteriori error estimates for linear-quadratic optimal control problems.

Computational Optimization and Applications 44 (2009), 83-115.

(with I. Yousept)

A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints.

Computational Optimization and Applications 42 (2009), 43-63.

(with I. Yousept)

Source representation strategy for optimal boundary control problems with state constraints.

Journal for Analysis and its Applications (ZAA) 28 (2009), 189-203.

(with I. Neitzel)

On regularization methods for the numerical solution of parabolic control problems

with pointwise state constraints.

ESAIM: COCV 15 (2009), 426-453.

(with J.C. de los Reyes, P. Merino, J. Rehberg)

Optimality conditions for state-constrained PDE control problems with time-dependent controls.

Control and Cybernetics 37 (2008), 5-38.

(with E. Casas and J.C. de Los Reyes)

Sufficient second-order optimality conditions for semilinear control problems with pointwise state constraints.

SIAM J. on Optimization 19 (2008), 616-643.

(with I. Neitzel)

On convergence of regularization methods for nonlinear parabolic optimal control problems with control and state constraints.

Control and Cybernetics 37 (2008), 1013-1043.

(with M. Hintermüller and I. Yousept)

Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems.

Numerische Mathematik 108 (2008), 571-603.

(with U. Prüfert and M. Weiser)

The convergence of an interior point method for an elliptic control problem with mixed control-state constraints.

Computational Optimization and Applications 39 (2008), 183-218.

(with A. Carnarius, B. Günther, F. Thiele, D. Wachsmuth, J.C. De los Reyes)

Numerical Study of the Optimization of Separation Control.

Proceedings of the 45th AIAA Aerospace Sciences Meeting and Exhibit,

Reno, 8-11 January 2007, AIAA 2007-58.

(with U. Prüfert)

An interior point method for a parabolic optimal control problem with regularized pointwise state constraints.

ZAMM 87 (2007), 564-589.

(with J.C. des los Reyes)

Optimal control of the stationary Navier-Stokes equations with mixed control-state constraints.

SIAM J. Control Optimization 46 (2007), 604-629 .

(with J.C. des los Reyes)

Flow control with regularized state constraints.

In: R. King (Ed.), Active Flow control. Springer, Berlin 2007, pp. 353-366.

(with A. Rösch)

On regularity of solutions and Lagrange multipliers of optimal control problems for semilinear equations with mixed pointwise control-state constraints.

SIAM J. Control Optimization 46 (2007), 1098-1115.

(with C. Meyer and U. Prüfert)

On two numerical methods for state-constrained elliptic control problems.

Optimization Methods and Software 22 (2007), 871-899.

(with A. Rösch)

Sufficient second-order optimality conditions for an elliptic optimal control problem with pointwise control-state constraints.

SIAM J. on Optimization 17 (2006), 776-794.

(with C. Meyer and A. Rösch)

Optimal control problems of PDEs with regularized pointwise state constraints.

Computational Optimization and Applications 33 (2006), 209-228.

(with A. Rösch)

Existence of regular Lagrange multipliers for a nonlinear elliptic optimal control problem with pointwise control-state constraints.

SIAM J. Control and Optimization 45 (2006), 548-564.

(with C. Meyer)

On an elliptic optimal control problem with pointwise mixed control-state constraints.

In: A. Seeger (Ed.), Recent Advances in Optimization.

Proceedings of the 12th French-German-Spanish Conference on Optimization

held in Avignon, September 20-24, 2004.

Lectures Notes in Economics and Mathematical Systems, vol. 563,

Springer-Verlag Berlin Heidelberg, 2006, pp. 187-204.

(with D. Wachsmuth)

Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations.

ESAIM COCV 12 (2006), 93-119.

(with C. Meyer and P. Philip)

Optimal control of a semilinear PDE with nonlocal radiation interface conditions.

SIAM J. Control Optimization 45 (2006), 699-721.

(with V. Maksimov)

Dynamical state and control resconstruction for a phase field model.

Dynamics of Continuous, Discrete and Impulsive Systems,

Ser. A Math. Analysis, 13 (2006), 419-444.

Regular Lagrange multipliers for control problems with mixed pointwise control-state constraints.

SIAM J. on Optimization 15 (2005), 616-634.

(with E. Casas and M. Mateos)

Error estimates for the numerical approximation of boundary semilinear elliptic control problems.

Computational Optimization and Applications 31 (2005), 193-220.

(with D. Wachsmuth)

On convergence of a receding horizon method for parabolic boundary control.

Optimization Methods and Software 19 (2004), 201-216.

(with D. Wachsmuth)

Second-order sufficient optimality conditions for the optimal control of instationary Navier-Stokes equations.

Proceedings in Applied Mathematics and Mechanics 4 (2004), 628-629.

(with T. Roubicek)

Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations.

Control and Cybernetics 32 (2003), 683-705.

(with A. Rösch)

Sufficient second order optimality condititions for a parabolic optimal control problem with pointwise control-state constraints,

SIAM J. Control and Optimization 42 (2003), 138-154.

(with E. Casas)

Error estimates for linear-quadratic elliptic control problems.

In V. Barbu, et al. (Eds): Analysis and Optimization of Differential Systems, pp. 89-100.

Kluwer Academic Publishers, Boston 2003.

(with E. Casas)

Error estimates for the finite-element approximation of a semilinear elliptic control problem,

Control and Cybernetics 31 (2002), 695-712.

(with A. Rösch)

Sufficient second order optimality condititions for a state-constrained optimal control problem of a weakly singular integral equation,

Num. Funct. Anal. Appl. 23 (2002), 173-193.

(with N. Arada and J.-P. Raymond)

On an Augmented Lagrangian SQP Method for a Class of Optimal Control Problems in Banach Spaces,

Computational Optimization and Applications 22 (2002), 369-398.

(with N. Arada and E. Casas)

Error estimates for a semilinear elliptic control problem,

Computational Optimization and Applications 23 (2002), 201-229.

(with E. Casas)

Second order necessary and sufficient optimality conditions for optimization problems and applications to control theory,

SIAM J. Optimization, 13 (2002), 406-431.

(with H. D. Mittelmann)

Sufficient Optimality in a Parabolic Control Problem,

In: A.H. Siddiqi, and M. Kocvara (Eds): Trends in Industrial and Applied Mathematics,

Kluwer, Dordrecht, The Netherlands, 2002, pp. 305-316.

(with W. Römisch)

Applied nonlinear optimization.

In: DFG Research Center Mathematics for Key Technologies,

Berliner Mathematische Gesellschaft, 2002, pp. 21-37.

(with A. Unger)

Fast solution of optimal control problems in the selective cooling of steel,

ZAMM 81 (2001), 447-456.

(with S. Volkwein)

The SQP method for control constrained optimal control of the Burgers equation,

ESAIM: Control, Optimisation and Calculus of Variations 6 (2001), 649-674.

(with K. Eppler)

Optimal Control Problems for the Nonlinear Heat Equation,

In: Online Optimization of Large Scale Systems, Grötschel, M., Krumke, S.O.

and Rambau, J. (Eds.), Springer-Verlag Berlin 2001, pp. 173-184.

(with K. Eppler)

Fast Optimization Methods in the Selective Cooling of Steel,

In: Online Optimization of Large Scale Systems, Grötschel, M., Krumke, S.O. and Rambau, J., Eds., Springer-Verlag Berlin 2001, pp. 185-204.

Lipschitz stability of solutions of linear-quadratic parabolic control problems with respect to perturbations.

Dynamics of Continuous, Discrete and Impulsive Systems 7 (2000), 289-306.

(with E. Casas and A. Unger)

Second order sufficient optimality conditions for some state-constrained control problems of semilinear elliptic equations,

SIAM J. Control and Optimization 38 (2000), 1369-1391.

(with J.-P. Raymond)

Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints,

Discrete and Continuous Dynamical Systems 6 (2000), 431-450.

(with K. Malanowski)

Lipschitz stability of solutions to parametric optimal control for elliptic equations,

Control and Cybernetics 29 (2000), 237-256.

(with M. Heinkenschloss)

Analysis of an SQP method for the control of a phase field equation,

Control Cybernetics 28 (1999), 177-211.

(with M. Bergounioux)

Optimal Control of Semilinear Parabolic Equations with State-Constraints of Bottleneck Type,

ESAIM: Control, Optimisation and Calculus of Variations 4 (1999), 595-608.

(with E. Casas)

Second order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations.

Appl. Math. Optimization 39 (1999), 211-228.

(with A. Myslinski)

A domain optimization problem for a nonlinear thermoelastic system.

In: K.H. Hoffmann, G. Leugering, F. Tröltzsch (Eds.), Optimal Control of Partial Differential Equations, ISNM, vol. 133, pp. 221-230, Birkhäuser 1999.

(with M. Bergounioux)

A linear parabolic boundary control problem with mixed control-state constraint.

In: S. Chen, X. Li, J. Yong (Eds.), Control of Distributed Parameter and Stochastic Systems, Proceed. IFIP WG 7.2 Int. Conf., Hangzhou, June 19-22, 1998, pp. 13-20, Kluwer Acad. Publ. 1999.

(with K. Malanowski)

Lipschitz stability of solutions to parametric optimal control for parabolic equations,

Journal of Analysis and its Applications (ZAA), 18 (1999), 469-489.

On the Lagrange-Newton-SQP Method for the Optimal Control of Semilinear Parabolic Equations,

SIAM J. Control and Optimization 38 (1999), 294-312.

(with H. Goldberg)

On a Lagrange-Newton method for a nonlinear parabolic boundary control problem.

Optimization Methods and Software 8 (1998), 225-247.

(with H. Goldberg)

On a SQP--multigrid technique for nonlinear parabolic boundary control problems.

In: Optimal Control: Theory, Algorithms, and Applications. W. W. Hager and P. M. Pardalos (Eds.), Kluwer Academic Publishers B.V., 1998, pp. 154-177.

(with R. Lezius, R. Krengel, H. Wehage)

Mathematische Behandlung der optimalen Steuerung von Abkühlprozessen bei Profilstählen.

In: K.H. Hoffmann, W. Jäger, T. Lohmann, and H. Schunck, Eds., Mathematik - Schlüsseltechnologie für die Zukunft, Verbundprojekte zwischen Universtität und Industrie, pp. 513-524, Springer 1997.

(with M. Bergounioux)

Optimal Control of Linear Bottleneck Problems.

ESAIM: Control, Optimisation and Calculus of Variations 3 (1998), 235-250.

(with W. Alt and H. Sontag)

An SQP method for optimal control of weakly singular Hammerstein integral equations.

Appl. Math. Optimization 33 (1996), 227-252.

(with H. Goldberg and H. Sprekels)

Numerical treatment of a shape optimization problem in thermoelasticity.

DFG-Preprint series "Anwendungsbezogene Optimierung und Steuerung", Report No. 520.

(with D. Tiba)

Error estimates for the discretization of state constrained convex control problems.

Num. Funct. Anal. Optimization 17 (1996), 1005-1028.

(with R. Lezius)

Theoretical and numerical aspects of controlled cooling of steel profiles.

In: H. Neunzert (Ed.), Progress in Industrial Mathematics at ECMI 94, 380-388,

and Teubner 1996.

(with M. Bergounioux)

Optimality Conditions and Generalized Bang-Bang-Principle for a State-Constrained Semilinear Parabolic Problem.

Num. Funct. Anal. Optimization 17 (1996), 517-536.

(with E. Casas and A. Unger)

Second order sufficient optimality conditions for a nonlinear elliptic control problem.

J. for Analysis and its Applications (ZAA) 15 (1996), 687-707.

A stability theorem for linear-quadratic parabolic control problems.

In: Casas, E. (Ed.), Control of partial differential equations and applications,

Lecture Notes in Pure and Appl. Math. 174 (1996), 287-296.

(with J. Sprekels)

On an optimal shape design problem connected with the heating of elastic bodies.

Semidiscrete Ritz - Galerkin approximation of nonlinear parabolic boundary control problems - strong convergence of optimal controls.

Appl. Math. Optimization 29 (1994), 309-329.

An SQP method for optimal control of a nonlinear heat equation.

Control and Cybernetics 23 (1994), 267-288.

Convergence of an SQP-method for a class of nonlinear parabolic boundary control problems.

In: K. Kunisch, W. Desch, F. Kappel, eds., Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena, Int. Ser. of Num. Math., vol. 118, 343-368, Birkhäuser 1994.

(with H. Goldberg)

Second order sufficient optimality conditions for a class of non-linear parabolic boundary control problems.

SIAM J. Contr. Opt. 31 (1993), 1007-1025.

On an optimal shape design problem.

In: H. Bandemer, Ed., Modelling of Uncertain Data, p. 22-27, Series Mathematical Research, Vol. 68, Akademie-Verlag 1993.

(with A. Rösch)

An optimal control problem arising from the identification of nonlinear heat transfer laws.

Archives of Control Sciences 1 (XXXVII) (1992), 183-195.

(with M. Hanke and J. Epperlein)

On a system of partial differential equations in photochemistry.

Wiss. Z. TU Chemnitz 34 (1992), 53-66.

(with H. Goldberg and W. Kampowsky)

On Nemytskii operators in Lp-spaces of abstract functions.

Math. Nachrichten 155 (1992), 127-140.

Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal controls.

Optimization 22 (1991), 83-98.

Some problems of identification and control arising from cooling rolled wires.

In Hj. Wacker and W. Zulehner (Eds.), Proceed. 4. ECMI-Conf. on Math. in Industry, 123-132, B.G. Teubner and Kluwer Academic Publ. 1991.

(with H. Goldberg)

Second order optimality conditions for nonlinear parabolic boundary control problems.

In: K.H. Hoffmann and W. Krabs (Eds.), Proceed. Conf. on Optimal Control of Partial Differential Equations, Irsee 1990, Lect. Notes Contr. Inf. Sci., vol. 149, 93-103, 1991.

Semigroup methods and approximation of nonlinear parabolic boundary control problems. In: Proceed. 14. IFIP-Conf. on System Modeling and Optimization, Leipzig 1989, Lect. Notes Contr. and Inf. Sci, 1990.

On the semigroup approach for the optimal control of semilinear parabolic equations including distributed and boundary control.

Z. f. Analysis und Anwendungen (ZAA) 8 (1989), 431-443.

(with H. Goldberg)

Second order sufficient optimality conditions for a class of control problems governed by non-linear integral equations with application to parabolic boundary control.

Optimization 20 (1989), 6871-698.

On a numerical method for coercive parabolic boundary control problems.

Z. Angewandte Mathematik und Mechanik (ZAMM) 67 (1987), 129-135.

(with T. Kaiser)

An inverse problem of parameter identification in cooling lines.

Wiss. Z. TU Karl-Marx-Stadt 29 (1987), 212-218.

Semidiscrete finite element approximation of parabolic boundary control problems - convergence of switching points.

In: Optimal control of partial differential equations, vol. 78 of Int. Ser. Num. Math., pp. 219-232, Birkhäuser, Basel 1987.

(with W. Sperber)

Function spaces and Lagrange multiplier rules for a parabolic control problem

arising from the hydration of concrete.

Discussiones Mathematicae 8 (1986), 109-120.

(with J. Ester)

On generalized notions of efficiency in multicriteria programming problems.

Systems Analysis Modelling Simulation 3 (1986), 153-161.

(with K. Eppler)

On switching points of optimal controls for coercive parabolic boundary control problems.

Optimization 17 (1986), 93-101.

On changing the spaces in Lagrange multiplier rules for the optimal control of non-linear operator equations.

Optimization 16 (1985), 877-885.

On duality and the maximum principle for continuous linear programming problems.

Z. f. Analysis und Anwendungen (ZAA) 4 (1985), 525-535.

The generalized bang-bang-principle and the numerical solution of a parabolic boundary-control problem with constraints on the control and the state.

ZAMM 64 (1984), 551-557.

A modification of the Zowe and Kurcyusz regularity condition with application to the optimal control of Noether operator equations with constraints on the control and the state.

Math. Operationsforschung und Statistik 14 (1983), 238-245.

On generalized bang-bang principles for two time-optimal heating problems with constraints on the control and the state.

Demonstratio Mathematica 15 (1982), 131-143.

On some parabolic boundary control problems with constraints on the control and functional-constraints on the state.

Z. für Analysis und Anwendungen (ZAA) 17 (1982), 1-13.

Optimalitätsbedingungen für ein parabolisches Randsteuerproblem mit Steuer- und Zustandsbeschränkungen.

Math. Operationsforschung und Statistik, Ser. Optimization, 12 (1981), 513-523.

Zur Dualitätstheorie linearer stetiger Optimierungsaufgaben mit Fredholmscher Operatorbeschränkung erster Art.

Beiträge zur Analysis 17 (1981), 99-112.

Duality theorems for a class of continuous linear programming problems in a space of Bochner-integrable abstract functions.

Math. Operationsforschung und Statistik, 11 (1981), 513-523.

A generalized bang-bang-principle for a heating problem with constraints on the control and the thermal stress.

J. of Integral Equations 3 (1981), 345-355.

(with A. Hensel and L. v. Wolfersdorf)

Berechnung der Abkühlung von Feinstahl und Draht in Kühlstrecken.

Neue Hütte 25 (1980), 299-301.

Mathematische Untersuchungen zur Auslegung und Steuerung von Kühlstrecken für Stabstahl- und Drahtwalzwerke.

Neue Hütte 25 (1980), 384-386.

A minimum principle and a generalized bang-bang-principle for a distributed optimal control problem with constraints on the control and the state.

ZAMM 59 (1979), 737-739.

Dual existence theorems for a special class of linear programming problems in reflexive Banach lattices.

Math. Operationsforschung und Statistik 8 (1977), 471-483.

Existenz- und Dualitätsaussagen für lineare Optimierungsaufgaben in reflexiven Banachräumen.

Math. Operationsforschung und Statistik 6 (1975), 901-912.