Nonlinear parametric evolution inclusions

Papageorgiou, NS; Yannakakis, N

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Yannakakis, N	en
dc.date.accessioned	2014-03-01T01:18:06Z
dc.date.available	2014-03-01T01:18:06Z
dc.date.issued	2002	en
dc.identifier.issn	0025-584X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14801
dc.subject	Compact embedding	en
dc.subject	Evolution triple	en
dc.subject	G-convergence	en
dc.subject	Lower semicontinuous and upper semicontinuous multifunctions	en
dc.subject	Minimax optimization problem	en
dc.subject	Monotone operator	en
dc.subject.classification	Mathematics	en
dc.subject.other	SET	en
dc.title	Nonlinear parametric evolution inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/1522-2616(200201)233:1<201::AID-MANA201>3.0.CO;2-U	en
heal.identifier.secondary	http://dx.doi.org/10.1002/1522-2616(200201)233:1<201::AID-MANA201>3.0.CO;2-U	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	In this paper, we study nonlinear parametric evolution inclusions defined on an evolution triple of spaces. The parameter appears in all the data of the problem, including the nonlinear maximal monotone operator, which in concrete situations corresponds to the nonlinear elliptic differential operators. Using the concept of G-convergence for nonlinear maximal monotone operators, we derive conditions for the solution set to be upper semicontinuous, lower semicontinuous and h-continuous. We also solve a relevant minimax problem. Two examples of parabolic systems are presented to illustrate the applicability of our work.	en
heal.publisher	WILEY-V C H VERLAG GMBH	en
heal.journalName	Mathematische Nachrichten	en
dc.identifier.doi	10.1002/1522-2616(200201)233:1<201::AID-MANA201>3.0.CO;2-U	en
dc.identifier.isi	ISI:000173683100013	en
dc.identifier.volume	233-234	en
dc.identifier.spage	201	en
dc.identifier.epage	219	en