Optimal control and admissible relaxation of uncertain nonlinear elliptic systems

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:12:10Z
dc.date.available	2014-03-01T01:12:10Z
dc.date.issued	1996	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11984
dc.subject	Nonlinear Elliptic Equation	en
dc.subject	Nonlinear Elliptic System	en
dc.subject	Optimal Control	en
dc.subject	Uncertain System	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.title	Optimal control and admissible relaxation of uncertain nonlinear elliptic systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jmaa.1996.0004	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jmaa.1996.0004	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	In this article we study the optimal control of uncertain systems monitored by nonlinear elliptic equations. First under convexity hypotheses, we show that the min-max problem has a solution. Then we drop the convexity assumptions and we pass to the larger relaxed system. We show that this always has, a solution under very general hypotheses on the data. We also produce conditions that guarantee that the relaxation is admissible; i.e., the relaxed problem is the ''closure'' of the Original one. (C) 1996 Academic Press, Inc.	en
heal.publisher	ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1006/jmaa.1996.0004	en
dc.identifier.isi	ISI:A1996TU37300004	en
dc.identifier.volume	197	en
dc.identifier.issue	1	en
dc.identifier.spage	27	en
dc.identifier.epage	41	en