Pullback attractors for nonautonomous wave equations with critical exponent

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 nonautono...

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Bibliographic Details
Published in:Nonlinear analysis 2008-01, Vol.68 (2), p.365-376
Main Author: Wang, Yonghai
Format: Article
Language:English
Subjects:
Contractive function
Critical exponent
Exact sciences and technology
Global analysis, analysis on manifolds
Mathematical analysis
Mathematics
Ordinary differential equations
Partial differential equations
Pullback [formula omitted]-asymptotically compact
Pullback attractor
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Wave equations
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Summary: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.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2006.11.002