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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 70, 2021 - Issue 10
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Articles

On second-order optimality conditions for optimal control problems governed by the obstacle problem

Constantin Christofa Faculty of Mathematics, Technische Universität München, Garching bei München, GermanyCorrespondence[email protected]
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Gerd Wachsmuthb Institute of Mathematics, Brandenburgische Technische Universität Cottbus-Senftenberg, Cottbus, GermanyORCID Iconhttps://orcid.org/0000-0002-3098-1503View further author information
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Pages 2247-2287 | Received 20 Jun 2019, Accepted 19 May 2020, Published online: 19 Jun 2020

Citations (8)

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Andreas Hehl & Ira Neitzel. (2023) Second-order optimality conditions for an optimal control problem governed by a regularized phase-field fracture propagation model. Optimization 72:6, pages 1665-1689.
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Vu Huu Nhu. (2022) On the no-gap second-order optimality conditions for a non-smooth semilinear elliptic optimal control. Optimization 71:14, pages 4289-4319.
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Articles from other publishers (6)

Constantin Christof & Dominik Hafemeyer. (2022) On the nonuniqueness and instability of solutions of tracking-type optimal control problems. Mathematical Control & Related Fields 12:2, pages 421.
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Stephan Dempe, Felix Harder, Patrick Mehlitz & Gerd Wachsmuth. 2022. Non-Smooth and Complementarity-Based Distributed Parameter Systems. Non-Smooth and Complementarity-Based Distributed Parameter Systems 77 99 .
Yu Deng, Patrick Mehlitz & Uwe Prüfert. (2021) Coupled versus decoupled penalization of control complementarity constraints . ESAIM: Control, Optimisation and Calculus of Variations 27, pages 45.
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Christian Clason, Vu Huu Nhu & Arnd Rösch. (2021) No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation. ESAIM: Control, Optimisation and Calculus of Variations 27, pages 62.
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Constantin Christof & Georg Müller. (2021) Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation. ESAIM: Control, Optimisation and Calculus of Variations 27, pages S13.
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Constantin Christof & Boris Vexler. (2021) New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints. ESAIM: Control, Optimisation and Calculus of Variations 27, pages 4.
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