Global attractor for the one dimensional wave equation with displacement dependent damping


Khanmamedov A.

APPLIED MATHEMATICS LETTERS, vol.25, no.3, pp.439-442, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 3
  • Publication Date: 2012
  • Doi Number: 10.1016/j.aml.2011.09.032
  • Title of Journal : APPLIED MATHEMATICS LETTERS
  • Page Numbers: pp.439-442

Abstract

We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the origin then this equation possesses a global attractor. (C) 2011 Elsevier Ltd. All rights reserved.