A CONTINUOUS VERSION OF THE RELAXATION THEOREM FOR NONLINEAR EVOLUTION INCLUSIONS

PAPAGEORGIOU, NS

dc.contributor.author	PAPAGEORGIOU, NS	en
dc.date.accessioned	2014-03-01T01:42:43Z
dc.date.available	2014-03-01T01:42:43Z
dc.date.issued	1994	en
dc.identifier.issn	0362-1588	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23915
dc.subject	EVOLUTION TRIPLE	en
dc.subject	COMPACT EMBEDDING	en
dc.subject	CONTINUOUS SELECTOR	en
dc.subject	FILIPPOV-GRONWALL ESTIMATE	en
dc.subject	PARABOLIC SYSTEM	en
dc.subject.classification	Mathematics	en
dc.subject.other	DIFFERENTIAL-INCLUSIONS	en
dc.subject.other	MULTIFUNCTIONS	en
dc.title	A CONTINUOUS VERSION OF THE RELAXATION THEOREM FOR NONLINEAR EVOLUTION INCLUSIONS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	We consider parametric nonlinear evolution inclusions defined on an evolution triple of spaces. First, we prove some continuous dependence results for the solution sets of both the convex and nonconvex problem and for the set of solution-selector pairs of the convex problem. Subsequently, we derive a parametrized version of the Filippov-Gronwall estimate in which the parameter varies in a continuous fashion. Using that estimate, we prove a continuous version of the nonlinear relaxation theorem. An example of a nonlinear parabolic control system is worked out in detail.	en
heal.publisher	UNIV HOUSTON	en
heal.journalName	HOUSTON JOURNAL OF MATHEMATICS	en
dc.identifier.isi	ISI:A1994PY70300010	en
dc.identifier.volume	20	en
dc.identifier.issue	4	en
dc.identifier.spage	685	en
dc.identifier.epage	704	en