Nonmonotone, nonlinear evolution inclusions

Papageorgiou, NS; Papalini, F; Yannakakis, N

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Papalini, F	en
dc.contributor.author	Yannakakis, N	en
dc.date.accessioned	2014-03-01T01:50:05Z
dc.date.available	2014-03-01T01:50:05Z
dc.date.issued	2000	en
dc.identifier.issn	0895-7177	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25990
dc.subject	pseudomonotone operator	en
dc.subject	L-pseudomonotoncity	en
dc.subject	L-generalized pseudomonotonicity	en
dc.subject	operator of type (S)(+)	en
dc.subject	surjective operator	en
dc.subject	coercive operator	en
dc.subject	compact embedding	en
dc.subject	evolution triple	en
dc.subject	extremal solution	en
dc.subject	continuous selection	en
dc.subject	parabolic problem	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	PERTURBATIONS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	EQUATIONS	en
dc.title	Nonmonotone, nonlinear evolution inclusions	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	In this paper, we consider nonlinear evolution problems, defined on an evolution triple of spaces, driven by a nonmonotone operator, and with a perturbation term which is multivalued. We prove existence theorems for the cases of a convex and of a nonconvex valued perturbation term which is defined on all of T x H or only on T x X with values in H or even in X* there X subset of or equal to H subset of or equal to X* is the evolution triple). Also, we prove the existence of extremal solutions, and for the "monotone" problem we have a strong relaxation theorem. Some examples of nonlinear parabolic problems are presented. (C) 2000 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	MATHEMATICAL AND COMPUTER MODELLING	en
dc.identifier.isi	ISI:000165075000008	en
dc.identifier.volume	32	en
dc.identifier.issue	11-13	en
dc.identifier.spage	1345	en
dc.identifier.epage	1365	en