Extremal solutions for nonlinear parabolic problems with discontinuities

Cardinali, T; Fiacca, A; Papageorgiou, NS

dc.contributor.author	Cardinali, T	en
dc.contributor.author	Fiacca, A	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:12:56Z
dc.date.available	2014-03-01T01:12:56Z
dc.date.issued	1997	en
dc.identifier.issn	0026-9255	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12282
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0007234805&partnerID=40&md5=3793a41cd7d845af1e60777cadec779d	en
dc.subject	Compact embedding	en
dc.subject	Evolution triple	en
dc.subject	Extremal fixed points	en
dc.subject	Lower solution	en
dc.subject	Maximal monotone operator	en
dc.subject	Penalty function	en
dc.subject	Regular cone	en
dc.subject	Sobolev space	en
dc.subject	Truncation map	en
dc.subject	Upper solution	en
dc.subject.classification	Mathematics	en
dc.subject.other	DIFFERENTIAL-EQUATIONS	en
dc.subject.other	EXISTENCE	en
dc.title	Extremal solutions for nonlinear parabolic problems with discontinuities	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	This paper examines nonlinear parabolic initial-boundary Value problems with a discontinuous forcing term, which is locally of bounded variation. Assuming that there exist an upper solution phi and a lower solution psi, we prove the existence of a maximal and of a minimal solution within the older interval [psi,phi] subset of or equal to L-p(T x Z). Our approach is based on a Jordan-type decomposition for the discontinuous forcing term and on a fixed point theorem for nondecreasing maps in ordered Banach spaces.	en
heal.publisher	SPRINGER-VERLAG WIEN	en
heal.journalName	Monatshefte fur Mathematik	en
dc.identifier.isi	ISI:A1997XR02000002	en
dc.identifier.volume	124	en
dc.identifier.issue	2	en
dc.identifier.spage	119	en
dc.identifier.epage	131	en