Uniform Attractors for Nonautonomous Wave Equations with Nonlinear Damping
β Scribed by Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
- Book ID
- 118203461
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2007
- Tongue
- English
- Weight
- 355 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1536-0040
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π SIMILAR VOLUMES
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. Εukaszewicz, J. Real, Pullback attractors for asymptotically compact nonautono
The existence and estimate of the upper bound of the Hausdorff dimension of the global attractor for the strongly damped nonlinear wave equation with the Dirichlet boundary condition are considered by introducing a new norm in the phase space. The gained Hausdorff dimension decreases as the damping