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

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:44:49Z
dc.date.available	2014-03-01T01:44:49Z
dc.date.issued	1996	en
dc.identifier.issn	02322064	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24492
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-25444476046&partnerID=40&md5=dd4adc4db8e5ab892af3e0816480b60b	en
dc.subject	Γ-convergence	en
dc.subject	Compact embeddings	en
dc.subject	Evolution triples	en
dc.subject	G-convergence	en
dc.subject	Monotone operators	en
dc.subject	Semilinear systems	en
dc.subject	Upper-semicontinuous multifunctions	en
dc.title	On the variational stability of a class of nonlinear parabolic optimal control problems	en
heal.type	journalArticle	en
heal.publicationDate	1996	en
heal.abstract	In this paper we study parametric optimal control problems governed by a non-linear parabolic equation in divergence form. The parameter appears in all the data of the problem, including the partial differential operator. Using as tools the G-convergence of operators and the F-convergence of functionals, we show that the set-valued map of optimal pairs is upper-semicontinuous with respect to the parameter and the optimal value function responds continuously to changes of the parameter. Finally, in the case of semilinear systems we show that our framework can also incorporate systems with weakly convergent coefficients. © Heldermann Verlag.	en
heal.journalName	Zeitschrift fur Analysis und ihre Anwendung	en
dc.identifier.volume	15	en
dc.identifier.issue	1	en
dc.identifier.spage	245	en
dc.identifier.epage	262	en