MILD SOLUTIONS OF SEMILINEAR EVOLUTION INCLUSIONS AND OPTIMAL-CONTROL

PAPAGEORGIOU, NS

dc.contributor.author	PAPAGEORGIOU, NS	en
dc.date.accessioned	2014-03-01T01:44:00Z
dc.date.available	2014-03-01T01:44:00Z
dc.date.issued	1995	en
dc.identifier.issn	0019-5588	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24249
dc.subject.classification	Mathematics	en
dc.title	MILD SOLUTIONS OF SEMILINEAR EVOLUTION INCLUSIONS AND OPTIMAL-CONTROL	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	In this paper we study semilinear evolution inclusions and their use in optimal control problems. First we prove two existence theorems; one for convex valued orientor fields and the other for nonconvex valued ones. Then we establish a relaxation result showing that the mild solutions of the nonconvex problem are dense in those of the convex problem. We also consider a parametric version of the Cauchy problem and investigate how the solution set changes as the parameter varies. Subsequently, we turn our attention to feedback optimal control problems and study a time optimal control problem and the variational stability of a parameterized family of terminal cost problems. Some examples of parabolic systems are also included.	en
heal.publisher	INDIAN NAT SCI ACAD	en
heal.journalName	INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS	en
dc.identifier.isi	ISI:A1995QV46800001	en
dc.identifier.volume	26	en
dc.identifier.issue	3	en
dc.identifier.spage	189	en
dc.identifier.epage	216	en