Optimal \(L^2\)-control problem in coefficients for a linear elliptic equation. II. approximation of solutions and optimality conditions

DOI10.3934/mcrf.2016017zbMath1348.35283arXiv1510.08671OpenAlexW2962930417MaRDI QIDQ338656

Thierry Horsin, Peter I. Kogut, Olivier Wilk

Publication date: 7 November 2016

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08671

zbMATH Keywords

control in coefficientsfictitious controlnon-variational solutionsvariational convergence

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for partial differential equations, boundary value problems (65N99) Linear optimal control problems (49N05) Singular elliptic equations (35J75) PDEs in connection with control and optimization (35Q93) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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An optimal control problem for some nonlinear elliptic equations with unbounded coefficients

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