Attractors for strongly damped wave equations with critical exponent
β Scribed by Shengfan Zhou
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 497 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
we prove the existence of the global attractor for the semigroup generated by strongly damped wave equations when the nonlinearity has a critical growth exponent.
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
We consider the dynamical behavior of the strongly damped wave equations under homogeneous Neumann boundary condition. By the property of limit set of asymptotic autonomous differential equations, we prove that in certain parameter region, the system has a one-dimensional global attractor, which is