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Lipschitz Stability of Solutions to Parametric Optimal Control Problems for Parabolic Equations

A class of parametric optimal control problems for semilinear parabolic
equations is considered. Using recent regularity results for solutions of such equations,
sufficient conditions are derived under which the solutions to optimal control problems
are locally Lipschitz continuous functions of the parameter in the L1-norm. It is shown
that these conditions are also necessary, provided that the dependence of data on the
parameter is sufficiently strong.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:ch1-199801001
Date30 October 1998
CreatorsMalanowski, Kazimierz, Tröltzsch, Fredi
ContributorsTU Chemnitz, Fakultät für Mathematik
PublisherUniversitätsbibliothek Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:preprint
Formatapplication/pdf, application/postscript, text/plain, application/zip

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