Periodic problems and problems with discontinuities for nonlinear parabolic equations

Cardinali, T; Papageorgiou, NS

dc.contributor.author	Cardinali, T	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:15:46Z
dc.date.available	2014-03-01T01:15:46Z
dc.date.issued	2000	en
dc.identifier.issn	0011-4642	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13734
dc.subject	pseudomonotone operator	en
dc.subject	L-pseudomonotonicity	en
dc.subject	operator of type (S)(+)	en
dc.subject	operator of type L-(S)(+)	en
dc.subject	coercive operator	en
dc.subject	surjective operator	en
dc.subject	evolution triple	en
dc.subject	compact embedding	en
dc.subject	multifunction	en
dc.subject	upper solution	en
dc.subject	lower solution	en
dc.subject	extremal solution	en
dc.subject	R-delta-set	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE PROBLEMS	en
dc.subject.other	CONTINUOUS APPROXIMATIONS	en
dc.subject.other	DIFFERENTIAL-EQUATIONS	en
dc.subject.other	EVOLUTION-EQUATIONS	en
dc.subject.other	MULTIFUNCTIONS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	SET	en
dc.title	Periodic problems and problems with discontinuities for nonlinear parabolic equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1022873208183	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1022873208183	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	In this paper we study nonlinear parabolic equations using the method of upper and lower solutions. Using truncation and penalization techniques and results from the theory of operators of monotone type, we prove the existence of a periodic solution between an upper and a lower solution. Then with some monotonicity conditions we prove the existence of extremal solutions in the order interval defined by an upper and a lower solution. Finally we consider problems with discontinuities and we show that their solution set is a compact R-delta-set in (CT, L-2(Z)).	en
heal.publisher	CZECHOSLOVAK MATHEMATICAL JOURNAL	en
heal.journalName	CZECHOSLOVAK MATHEMATICAL JOURNAL	en
dc.identifier.doi	10.1023/A:1022873208183	en
dc.identifier.isi	ISI:000165138700003	en
dc.identifier.volume	50	en
dc.identifier.issue	3	en
dc.identifier.spage	467	en
dc.identifier.epage	497	en