Estimates on the dimension of a global attractor for a semilinear dissipative wave equation on $\mathbb R^N$

Karachalios, N; Stavrakakis, N

dc.contributor.author	Karachalios, N	en
dc.contributor.author	Stavrakakis, N	en
dc.date.accessioned	2014-03-01T01:51:31Z
dc.date.available	2014-03-01T01:51:31Z
dc.date.issued	2002	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26343
dc.subject	Asymptotic Estimates	en
dc.subject	Dynamic System	en
dc.subject	Eigenvalue Problem	en
dc.subject	Eigenvalues	en
dc.subject	Fractal Dimension	en
dc.subject	Global Attractor	en
dc.subject	hausdor dimension	en
dc.subject	Hyperbolic Equation	en
dc.subject	Initial Condition	en
dc.subject	semilinear wave equation	en
dc.subject	sobolev space	en
dc.subject	Unbounded Domain	en
dc.subject	Wave Equation	en
dc.title	Estimates on the dimension of a global attractor for a semilinear dissipative wave equation on $\mathbb R^N$	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/dcds.2002.8.939	en
heal.identifier.secondary	http://dx.doi.org/10.3934/dcds.2002.8.939	en
heal.publicationDate	2002	en
heal.abstract	We discuss estimates of the Hausdor and fractal dimension of a global attractor for the semilinear wave equation utt + u t (x) u + f (u) = (x), x 2 RN, t 0, with the initial conditions u(x,0) = u0(x) and ut(x,0) = u1(x), where N 3, > 0 and ( (x)) 1 := g(x) lies in LN/2(RN) \	en
heal.journalName	Discrete and Continuous Dynamical Systems	en
dc.identifier.doi	10.3934/dcds.2002.8.939	en