Nonconvex evolution inclusions generated by time-dependent subdifferential operators

Arseni-Benou, K; Halidias, N; Papageorgiou, NS

dc.contributor.author	Arseni-Benou, K	en
dc.contributor.author	Halidias, N	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:14:53Z
dc.date.available	2014-03-01T01:14:53Z
dc.date.issued	1999	en
dc.identifier.issn	10489533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13262
dc.subject	Feedback Control System	en
dc.subject	Parabolic Equation	en
dc.subject	Path-Connected	en
dc.subject	Strong Relaxation	en
dc.subject	Strong Solution	en
dc.subject	Subdifferential	en
dc.title	Nonconvex evolution inclusions generated by time-dependent subdifferential operators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1155/S1048953399000222	en
heal.identifier.secondary	http://dx.doi.org/10.1155/S1048953399000222	en
heal.publicationDate	1999	en
heal.abstract	We consider nonlinear nonconvex evolution inclusions driven by time-varying subdifferentials ∂φ(t, x) without assuming that φ(t, ·) is of compact type. We show the existence of extremal solutions and then we prove a strong relaxation theorem. Moreover,r we show that under a Lipschitz condition on the orientor field, the solution set of the nonconvex problem is path-connected in C(T, H). These results are applied to nonlinear feedback control systems to derive nonlinear infinite dimensional versions of the ""bang-bang principle."" The abstract results are illustrated by two examples of nonlinear parabolic problems and an example of a differential variational inequality. ©1999 by North Atlantic Science Publishing Company.	en
heal.journalName	Journal of Applied Mathematics and Stochastic Analysis	en
dc.identifier.doi	10.1155/S1048953399000222	en
dc.identifier.volume	12	en
dc.identifier.issue	3	en
dc.identifier.spage	233	en
dc.identifier.epage	252	en