Pontryagin's maximum principle of optimal control governed by some non-well-posed semilinear parabolic differential equations

DOI10.1016/S0362-546X(02)00141-4zbMath1019.49025MaRDI QIDQ1869967

Gengsheng Wang

Publication date: 4 May 2003

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

zbMATH Keywords

optimal controllocal existencePontryagin's maximum principlenon well-posed semilinear parabolic equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Nonlinear boundary value problems for linear elliptic equations (35J65) Ill-posed problems for PDEs (35R25)

Related Items (6)

Optimal control of the viscous Degasperis-Procesi equation ⋮ Pontryagin's maximum principle for optimal control of a non-well-posed parabolic differential equation involving a state constraint ⋮ Optimal control of the viscous generalized Camassa-Holm equation ⋮ Optimal control of the viscous weakly dispersive Degasperis-Procesi equation ⋮ Optimal control of the viscous Dullin-Gottwalld-Holm equation ⋮ Optimal solution for the viscous nonlinear dispersive wave equation

Cites Work

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• Necessary conditions for infinite-dimensional control problems
• Optimal control of parabolic variational inequality involving state constraint
• Analysis and control of nonlinear infinite dimensional systems
• Optimal Problems for Nonlinear Parabolic Boundary Control Systems
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• Optimal Control of Parabolic Differential Equations with Two Point Boundary State Constraints
• State constrained optimal control problems governed by semilinear equations^sup∗
• State-Constrained Optimal Control Governed by Non--Well-Posed Parabolic Differential Equations

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