On the existence of solutions for nonlinear parabolic problems with nonmonotone discontinuities

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:13:14Z
dc.date.available	2014-03-01T01:13:14Z
dc.date.issued	1997	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12380
dc.subject	Existence of Solution	en
dc.subject	Parabolic Problem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Differential equations	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Multivalued analysis	en
dc.subject.other	Nonlinear parabolic problems	en
dc.subject.other	Nonmonotone discontinuities	en
dc.subject.other	Pseudomonotone operators	en
dc.subject.other	Boundary value problems	en
dc.title	On the existence of solutions for nonlinear parabolic problems with nonmonotone discontinuities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jmaa.1997.5208	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jmaa.1997.5208	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	In this paper we consider a nonlinear parabolic problem with a discontinuous, nonmonotone nonlinearity. We assume the existence of an upper solution phi and a lower solution psi such that psi less than or equal to phi. Using results from the theory of pseudomono-tone operators and from the theory of multivalued analysis together with truncation and penalization techniques, we show that there exists at least one solution x(t, x) such that psi(t, z) less than or equal to x(t, z) less than or equal to phi(t, z) a.e, on T x Z. (C) 1997 Academic Press.	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.1997.5208	en
dc.identifier.isi	ISI:A1997WF45300010	en
dc.identifier.volume	205	en
dc.identifier.issue	2	en
dc.identifier.spage	434	en
dc.identifier.epage	453	en