Optimality conditions for state-constrained Dirichlet boundary control problems

DOI10.1023/A:1021886227276zbMath0951.49029OpenAlexW64850344MaRDI QIDQ1306657

Nadir Arada, Jean-Pierre Raymond

Publication date: 6 July 2000

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021886227276

zbMATH Keywords

semilinear parabolic equationspointwise state constraintsStone-Čech compactificationDirichlet boundary controlLagrange multiplier theorems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20)

Related Items (1)

Lipschitz stability of solutions to some state-constrained elliptic optimal control problems

Cites Work

• Regularity and stability for the mathematical programming problem in Banach spaces
• Optimal control problems for nonlinear parabolic boundary control systems: The Dirichlet boundary condition
• Minimax control of parabolic systems with Dirichlet boundary conditions and state constraints
• Nonlinear boundary control of semilinear parabolic problems with pointwise state constraints
• A lagrange multiplier theorem for control problems with state constraints
• Necessary Optimality Conditions for Control Problems and the Stone--Cech Compactification

This page was built for publication: Optimality conditions for state-constrained Dirichlet boundary control problems