Sensitivity analysis of distributed-parameter optimal control problems for nonlinear parabolic equations

DOI10.1007/BF02192136zbMath0834.49005MaRDI QIDQ1904693

Stanislaw Migórski

Publication date: 1 February 1996

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

zbMATH Keywords

optimal controlsensitivity analysismonotone operators\(\Gamma\)-convergenceKuratowski convergenceparabolic \(G\)-convergencesystems described by nonlinear parabolic equations

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (9)

A class of elliptic mixed boundary value problems with \((p, q)\)-Laplacian: existence, comparison and optimal control ⋮ A class of double phase mixed boundary value problems: existence, convergence and optimal control ⋮ Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities ⋮ Sensitivity analysis of optimal control problems governed by nonlinear Hilfer fractional evolution inclusions ⋮ Sensitivity Analysis of Optimal Control Problems Described by Differential Hemivariational Inequalities ⋮ Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions ⋮ Simultaneous distributed-boundary optimal control problems driven by nonlinear complementarity systems ⋮ Sensitivity analysis for a fractional stochastic differential equation with \(S^p\)-weighted pseudo almost periodic coefficients and infinite delay ⋮ Sensitivity of optimal solutions to control problems for second order evolution subdifferential inclusions

Cites Work

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• A convergence result for a sequence of distributed-parameter optimal control problems
• On the convergence of the dual variables in optimal control problems
• Gamma-convergence and optimal control problems
• Sur la convergence de solutions d'équations paraboliques
• Dualita e perturbazione di funzionali integrali
• Asymptotic behavior of optimal solutions to control problems for systems described by differential inclusions corresponding to partial differential equations
• An introduction to \(\Gamma\)-convergence
• Variational stability of infinite dimensional optimal control problems
• AVERAGING ANDG-CONVERGENCE OF DIFFERENTIAL OPERATORS

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