Global Attractors For Wave Equations With Nonlinear Interior Damping And Critical Exponents

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.