Compact invariant sets for some quasilinear nonlocal Kirchhoff strings on R-N

Papadopoulos, PG; Stavrakakis, NM

dc.contributor.author	Papadopoulos, PG	en
dc.contributor.author	Stavrakakis, NM	en
dc.date.accessioned	2014-03-01T01:28:03Z
dc.date.available	2014-03-01T01:28:03Z
dc.date.issued	2008	en
dc.identifier.issn	0003-6811	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18685
dc.subject	quasilinear hyperbolic equations	en
dc.subject	Kirchhoff strings	en
dc.subject	global attractor	en
dc.subject	unbounded domains	en
dc.subject	generalised sobolev spaces	en
dc.subject	weighted L-p spaces	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	NONLINEAR HYPERBOLIC-EQUATIONS	en
dc.subject.other	WAVE-EQUATIONS	en
dc.subject.other	GLOBAL EXISTENCE	en
dc.subject.other	ATTRACTORS	en
dc.title	Compact invariant sets for some quasilinear nonlocal Kirchhoff strings on R-N	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/00036810601127418	en
heal.identifier.secondary	http://dx.doi.org/10.1080/00036810601127418	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We consider the quasilinear nonlocal dissipative Kirchhoff String problem u(u)-phi(x) vertical bar vertical bar x Delta u + delta u(t) + f(u) = 0, x is an element of R-N, t >= 0, with the initial conditions u(x, 0) = u(0)(x) and u(t)(x, 0) = u(1)(x), in the case where N >= 3, delta >= 0, f(u) = \|u\|(a)u for example, and (phi(x))(-1) is an element of L-N/2(R-N) boolean AND L-infinity(R-N) is a positive function. The purpose of our work is to study the long-time behaviour of the solution of this equation. The compactness of the embeddings D(A) subset of D-1,D-2 (R-N) subset of L-g(2) (R-N) is widely applied.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	APPLICABLE ANALYSIS	en
dc.identifier.doi	10.1080/00036810601127418	en
dc.identifier.isi	ISI:000253642600001	en
dc.identifier.volume	87	en
dc.identifier.issue	2	en
dc.identifier.spage	133	en
dc.identifier.epage	148	en