On the variational stability of a class of nonlinear parabolic optimal control problems

DOI10.4171/ZAA/697zbMath0844.49020MaRDI QIDQ1909652

Nikolaos S. Papageorgiou

Publication date: 3 September 1996

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

semilinear systemsnonlinear parabolic equationsensitivity analysiscompact embeddings\(G\)-convergencemonotone operators\(\Gamma\)-convergenceparametric optimal controlevolution triplesupper-semicontinuous multifunctions

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonlinear parabolic equations (35K55) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (5)

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 for optimal control problems governed by nonlinear 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

Cites Work

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• On continuous approximations for multifunctions
• Compact sets in the space \(L^ p(0,T;B)\)
• Gamma-convergence and optimal control problems
• Optimal control in coefficients for weak variational problems in Hilbert space
• An introduction to \(\Gamma\)-convergence
• G-convergence of a class of evolution operators
• On the set of solutions of a class of nonlinear evolution inclusions

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