Global attractor for a system of KleinGordonSchrdinger type in all R

Poulou, MN; Stavrakakis, NM

dc.contributor.author	Poulou, MN	en
dc.contributor.author	Stavrakakis, NM	en
dc.date.accessioned	2014-03-01T01:35:46Z
dc.date.available	2014-03-01T01:35:46Z
dc.date.issued	2011	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21186
dc.subject	Absorbing set	en
dc.subject	Asymptotic compactness	en
dc.subject	Continuity	en
dc.subject	Global attractor	en
dc.subject	KleinGordonSchrdinger system	en
dc.subject	Unbounded domain	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Absorbing set	en
dc.subject.other	Asymptotic compactness	en
dc.subject.other	Continuity	en
dc.subject.other	Global attractor	en
dc.subject.other	KleinGordonSchrdinger system	en
dc.subject.other	Unbounded domain	en
dc.subject.other	Asymptotic analysis	en
dc.title	Global attractor for a system of KleinGordonSchrdinger type in all R	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2010.12.009	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2010.12.009	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper we study the long time behavior of solutions for the following system of Klein-Gordon-Schrodinger type i psi(t) +kappa psi(xx) + i alpha psi = phi psi + f, phi(tt) - phi(xx) + phi + lambda phi(t) = -Re psi(x) + g, psi(x, 0) = psi(0)(x), phi(x, 0) = phi(0)(x), phi(t)(x, 0) = phi(1)(x), lim x ->+/-infinity psi(x, t) = lim x ->+/-infinity phi(x, t) = 0, t > 0, where x is an element of R, kappa > 0, alpha > 0, lambda > 0. First, the existence, uniqueness and continuity of the solutions on the initial data are proved. Then the asymptotic compactness of the solutions and the existence of a global compact attractor are shown. (C) 2010 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2010.12.009	en
dc.identifier.isi	ISI:000288254800012	en
dc.identifier.volume	74	en
dc.identifier.issue	7	en
dc.identifier.spage	2548	en
dc.identifier.epage	2562	en