An optimal control problem for a nonlinear elliptic equation with a phase constraint and state variation

DOI10.3103/S1066369X13090119zbMath1283.49008MaRDI QIDQ2439369

S. Ya. Serovaiskii

Publication date: 14 March 2014

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

optimal controlnonlinear elliptic equationphase constraintstate variation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear elliptic equations (35J60) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Stabilization of linear distributed control systems with unbounded delay
• Internal stabilization of semilinear parabolic systems
• Optimal control of a singular evolution equation with a nonsmooth operator and fixed terminal state
• On Regularity of Solutions and Lagrange Multipliers of Optimal Control Problems for Semilinear Equations with Mixed Pointwise Control-State Constraints
• Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations
• A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System
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