Global attractors for wave equations with nonlinear interior damping and critical exponents

Khanmamedov A.

JOURNAL OF DIFFERENTIAL EQUATIONS, vol.230, no.2, pp.702-719, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 230 Issue: 2
  • Publication Date: 2006
  • Doi Number: 10.1016/j.jde.2006.06.001
  • Journal Name: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.702-719
  • Hacettepe University Affiliated: Yes

Abstract

In this paper we study the global attractors for wave equations with nonlinear interior damping. We prove the existence, regularity and finite dimensionality of the global attractors without assuming a large value for the damping parameter, when the growth of the nonlinear terms is critical. (c) 2006 Elsevier Inc. All rights reserved.