Strong global attractor for a quasilinear nonlocal wave equation on ℝN

Papadopoulos, PG; Stavrakakis, NM

dc.contributor.author	Papadopoulos, PG	en
dc.contributor.author	Stavrakakis, NM	en
dc.date.accessioned	2014-03-01T01:55:29Z
dc.date.available	2014-03-01T01:55:29Z
dc.date.issued	2006	en
dc.identifier.issn	10726691	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/27752
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-33746079963&partnerID=40&md5=aa419bdcfe9cd4dc00161b89cb479bc5	en
dc.subject	Generalized Sobolev spaces	en
dc.subject	Global attractor	en
dc.subject	Kirchhoff strings	en
dc.subject	Quasilinear hyperbolic equations	en
dc.subject	Unbounded domains	en
dc.subject	Weighted Lp spaces	en
dc.title	Strong global attractor for a quasilinear nonlocal wave equation on ℝN	en
heal.type	journalArticle	en
heal.publicationDate	2006	en
heal.abstract	We study the long time behavior of solutions to the nonlocal quasi-linear dissipative wave equation utt - φ(x)∥▽u(t)∥ 2Δu + δut + \|u\|a = 0, in ℝN, t ≥ 0, with initial conditions u(x,0) = u0(x) and ut(x,0) = u1(x). We consider the case N ≥ 3, δ > 0, and (φ(x))-1 a positive function in L N/2(ℝN) ∩ L∞ (ℝ N). The existence of a global attractor is proved in the strong topology of the space D1,2(ℝN) × L 92(ℝN). © 2006 Texas State University.	en
heal.journalName	Electronic Journal of Differential Equations	en
dc.identifier.volume	2006	en
dc.identifier.spage	1	en
dc.identifier.epage	10	en