Global Attractors For The Plate Equation With A Localized Damping And A Critical Exponent In An Unbounded Domain

Abstract

In this paper, we study the asymptotic behavior of solutions for the plate equation with a localized damping and a critical exponent. We prove the existence, regularity and finite dimensionality of a global attractor in W-2(2)(R-n) x L-2(R-n). (c) 2005 Elsevier Inc. All rights reserved.