Optimal control of semilinear parabolic equations with non-smooth pointwise-integral control constraints in time-space

DOI10.1007/s00245-022-09850-7zbMath1485.35270arXiv2112.01359OpenAlexW3216105238MaRDI QIDQ2115136

Eduardo Casas, Karl Kunisch

Publication date: 15 March 2022

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.01359

zbMATH Keywords

optimal controlfirst and second order optimality conditionsnon-smooth control constraints

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonsmooth analysis (49J52) Initial-boundary value problems for second-order parabolic equations (35K20) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear parabolic equations (35K58) PDEs in connection with control and optimization (35Q93)

Related Items (7)

Stability for semilinear parabolic optimal control problems with respect to initial data ⋮ Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations ⋮ Error estimates for the numerical approximation of unregularized sparse parabolic control problems ⋮ Optimal control of a parabolic equation with memory ⋮ Infinite horizon optimal control for a general class of semilinear parabolic equations ⋮ A Note on Existence of Solutions to Control Problems of Semilinear Partial Differential Equations ⋮ On the solution stability of parabolic optimal control problems

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