Second order nonlinear evolution inclusions II: Structure of the solution set

Papageorgiou, NS; Yannakakis, N

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Yannakakis, N	en
dc.date.accessioned	2014-03-01T01:25:08Z
dc.date.available	2014-03-01T01:25:08Z
dc.date.issued	2006	en
dc.identifier.issn	1439-8516	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17549
dc.subject	Compact embedding	en
dc.subject	Compact R δ	en
dc.subject	Connected	en
dc.subject	Continuum	en
dc.subject	Evolution triple	en
dc.subject	Hyperbolic problem	en
dc.subject	Pathconnected	en
dc.subject	Second order evolution	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	DIFFERENTIAL-INCLUSIONS	en
dc.subject.other	EXISTENCE	en
dc.title	Second order nonlinear evolution inclusions II: Structure of the solution set	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10114-004-0509-x	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10114-004-0509-x	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	We continue the work initiated in [1] (Second order nonlinear evolution inclusions I: Existence and relaxation results. Acta Mathematics Science, English Series, 21(5), 977-966 (2005)) and study the structural properties of the solution set of second order evolution inclusions which are defined in the analytic framework of the evolution triple. For the convex problem we show that the solution set is compact R-delta , while for the nonconvex problem we show that it is path connected. Also we show that the solution set is closed only if the multivalued nonlinearity is convex valued. Finally we illustrate the results by considering a nonlinear hyperbolic problem with discontinuities.	en
heal.publisher	SPRINGER HEIDELBERG	en
heal.journalName	Acta Mathematica Sinica, English Series	en
dc.identifier.doi	10.1007/s10114-004-0509-x	en
dc.identifier.isi	ISI:000234014800023	en
dc.identifier.volume	22	en
dc.identifier.issue	1	en
dc.identifier.spage	195	en
dc.identifier.epage	206	en