GLOBAL ATTRACTOR FOR SOME WAVE EQUATIONS OF p- AND p(x)-LAPLACIAN TYPE

Stavrakakis, NM; Stylianou, AN

dc.contributor.author	Stavrakakis, NM	en
dc.contributor.author	Stylianou, AN	en
dc.date.accessioned	2014-03-01T02:04:29Z
dc.date.available	2014-03-01T02:04:29Z
dc.date.issued	2011	en
dc.identifier.issn	0893-4983	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29446
dc.subject.other	WEAK SOLUTIONS	en
dc.subject.other	EVOLUTION EQUATION	en
dc.subject.other	NONLINEARITIES	en
dc.subject.other	CONTINUITY	en
dc.title	GLOBAL ATTRACTOR FOR SOME WAVE EQUATIONS OF p- AND p(x)-LAPLACIAN TYPE	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We study the existence of solutions for the equation u(tt) - Delta(p(x))u - Delta u(t) + g(u) = f(x,t), x is an element of Omega (bounded) subset of R-n, t > 0 in both the isotropic case (p(x) equivalent to p, a constant) and the anisotropic case (p(x) a measurable function). Furthermore, in the isotropic case we obtain results concerning the asymptotic behavior of solutions. Since uniqueness for this type of problem seems rather difficult, a method implementing generalized semiflows is being used to prove the existence of a global attractor in the phase space W-0(1,p)(Omega) x L-2(Omega), when p >= n.	en
heal.publisher	KHAYYAM PUBL CO INC	en
heal.journalName	DIFFERENTIAL AND INTEGRAL EQUATIONS	en
dc.identifier.isi	ISI:000285799600007	en
dc.identifier.volume	24	en
dc.identifier.issue	1-2	en
dc.identifier.spage	159	en
dc.identifier.epage	176	en