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

Description

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.

Links & Downloads

1. urn:nbn:de:bsz:ch1-199801001
2. https://monarch.qucosa.de/id/qucosa%3A17475
3. https://monarch.qucosa.de/api/qucosa%3A17475/attachment/ATT-0/
4. https://monarch.qucosa.de/api/qucosa%3A17475/attachment/ATT-1/
5. https://monarch.qucosa.de/api/qucosa%3A17475/attachment/ATT-2/

Tags

info:eu-repo/classification/ddc/510

ddc:510

optimal control

semilinear parabolic equations

Lipschitz stability

supremum norm

MSC 49K20

MSC 49K40

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:17475
Date	30 October 1998
Creators	Malanowski, Kazimierz, Tröltzsch, Fredi
Publisher	Technische Universität Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
Rights	info:eu-repo/semantics/openAccess