Volume no :1, Issue no: 2, August 2008

Journal of Mathematical Sciences: Advances and Applications

GLOBAL ATTRACTORS FOR A CLASS NONLINEAR EVOLUTION EQUATION

Author's: YONGQIN XIE and GUIXIANG QIN
Pages: [443] - [455]
Received Date: February 11, 2008
Submitted by:

Abstract

In this paper, using a new method (or framework), we deal with the dissipative feature of the solution semigroup. And then we establish the existence of global attractor for a class nonlinear evolution equation in where the nonlinear term f satisfies a critical exponential growth condition.

Keywords

nonlinear evolution equation, global attractor, critical exponential.