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

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:13:14Z
dc.date.available	2014-03-01T01:13:14Z
dc.date.issued	1997	en
dc.identifier.issn	0334-2700	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12383
dc.subject	Optimal Control Problem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	G-CONVERGENCE	en
dc.subject.other	OPERATORS	en
dc.title	On the variational stability of a class of nonlinear parabolic optimal control problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S033427000000922X	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S033427000000922X	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	In this paper we study parametric optimal control problems governed by a nonlinear 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 Γ-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. © Australian Mathematical Society, 1997.	en
heal.publisher	AUSTRALIAN MATHEMATICS PUBL ASSOC INC	en
heal.journalName	Journal of the Australian Mathematical Society Series B-Applied Mathematics	en
dc.identifier.doi	10.1017/S033427000000922X	en
dc.identifier.isi	ISI:A1997XR07300005	en
dc.identifier.volume	39	en
dc.identifier.issue	1	en
dc.identifier.spage	77	en
dc.identifier.epage	92	en