Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain

Khanmamedov A.

JOURNAL OF DIFFERENTIAL EQUATIONS, vol.225, no.2, pp.528-548, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 225 Issue: 2
  • Publication Date: 2006
  • Doi Number: 10.1016/j.jde.2005.12.001
  • Journal Name: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.528-548
  • Hacettepe University Affiliated: Yes

Abstract

In this paper, we study the asymptotic behavior of solutions for the plate equation with a localized damping and a critical exponent. We prove the existence, regularity and finite dimensionality of a global attractor in W-2(2)(R-n) x L-2(R-n). (c) 2005 Elsevier Inc. All rights reserved.