Pullback attractors for nonautonomous wave equations with critical exponent

✍ Scribed by Yonghai Wang

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 278 KB
• Volume: 68
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2006.11.002

✦ Synopsis

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 D-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 D-asymptotic compactness.