Optimal control elliptic systems with distributed and boundary controls

DOI10.1016/j.na.2005.02.009zbMath1224.49025OpenAlexW2059814794MaRDI QIDQ999920

Dorota Bors, Stanislaw Walczak

Publication date: 4 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.009

zbMATH Keywords

stabilityboundary value problemsnonlinear elliptic equationscontinuous dependence on boundary data

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with control and optimization (35Q93) Boundary value problems for second-order elliptic systems (35J57)

Related Items (4)

Models of particles of the Michie-King type ⋮ Constraints optimal control governing by triple nonlinear hyperbolic boundary value problem ⋮ Boundary control of non-well-posed elliptic equations with nonlinear Neumann boundary conditions ⋮ Optimality conditions for boundary control of non-well-posed elliptic equations

Cites Work

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• Well-posed optimization problems
• Weak lower semicontinuity of integral functionals
• An introduction to \(\Gamma\)-convergence
• Optimal control systems governed by second-order ODEs with Dirichlet boundary data and variable parameters
• Optimal control of systems governed by some elliptic equations
• Stability in semilinear problems
• Sensitivity Analysis of Control Constrained Optimal Control Problems for Distributed Parameter Systems
• Optimization Problems with Perturbations: A Guided Tour
• Set-valued analysis

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