Maximum principle for optimal control of non-well posed elliptic differential equations

DOI10.1016/S0362-546X(01)00897-5zbMath1032.49031MaRDI QIDQ1863595

Gengsheng Wang, Li Juan Wang

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

optimal controlmaximum principleEkeland's variational principlestate constraintnon-well-posed equationsimilinear elliptic differential equations

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60)

Related Items (7)

Time optimal control for some ordinary differential equations with multiple solutions ⋮ Pontryagin's maximum principle for optimal control of a non-well-posed parabolic differential equation involving a state constraint ⋮ Boundary control of non-well-posed elliptic equations with nonlinear Neumann boundary conditions ⋮ Optimal control problems for semilinear non-well-posed parabolic differential equations ⋮ Optimality conditions for boundary control of non-well-posed elliptic equations ⋮ A new approach to optimal control of ill-posed semilinear elliptic equations in the absence of convexity ⋮ State-constrained optimal control governed by elliptic differential equations in unbounded domains

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