Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844172 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 12 Pages |
Abstract
In this paper, we prove the existence of a pullback attractor for a nonautonomous wave equation with critical exponent. To do this, we first use the concept of pullback DD-asymptotic compactness given in [T. Caraballo, G. Łukaszewicz, J. Real, Pullback attractors for asymptotically compact nonautonomous dynamical systems, Nonlinear Anal. 64 (2006) 484–498] to show the existence of pullback attractor of nonautonomous dynamical systems, and then we give a new method for verifying the pullback DD-asymptotic compactness.
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Authors
Yonghai Wang,