On the existence of a global attractor for the wave equation with nonlinear strong damping perturbed by nonmonotone term


Khanmamedov A.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.69, no.10, pp.3372-3385, 2008 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 69 Issue: 10
  • Publication Date: 2008
  • Doi Number: 10.1016/j.na.2007.09.028
  • Title of Journal : NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Page Numbers: pp.3372-3385

Abstract

The long-time behavior of the wave equation with nonmonotone interior damping is considered. It is shown that the semigroup generated by this equation possesses a global attractor in H-0(1) (Omega) x L-2 (Omega). (c) 2007 Elsevier Ltd. All rights reserved.