On the structure of the solution set of evolution inclusions with time-dependent subdifferentials

Papageorgiou, NS; Papalini, F

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Papalini, F	en
dc.date.accessioned	2014-03-01T01:46:05Z
dc.date.available	2014-03-01T01:46:05Z
dc.date.issued	1997	en
dc.identifier.issn	00418994	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24842
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-53249113732&partnerID=40&md5=a0be79c3ff7907d10c04155e3bdbd71d	en
dc.title	On the structure of the solution set of evolution inclusions with time-dependent subdifferentials	en
heal.type	journalArticle	en
heal.publicationDate	1997	en
heal.abstract	In this paper we consider evolution inclusions driven by a time dependent subdifferential operator and a set-valued perturbation term. First we show that the problem with a convex-valued, h*-u.s.c. orientor field (i.e. perturbation term) has a nonempty solution set which is an Rδ- set in C(T, H), in particular then compact and acyclic. For the nonconvex problem (i.e. the orientor field is nonconvex-valued), without assuming that the functional φ(t, x) of the subdifferential is of compact type, we show that for every initial datum ξ ε dom φ(0, ·) the solution set S(ξ) is nonempty and we also produce a continuous selector for the multifunction ξ → S(ξ). Some examples of distributed parameter systems are also included.	en
heal.journalName	Rendiconti del Seminario Matematico dell Universita di Padova	en
dc.identifier.volume	97	en
dc.identifier.spage	162	en
dc.identifier.epage	186	en