Convergence of singular perturbations of strongly damped nonlinear wave equations
β Scribed by W.E. Fitzgibbon; M.E. Parrott
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 580 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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
## Abstract Dissipative perturbations of hyperbolic equations such as __u__~__tt__~ + __Bu__~__t__~ + __A__^2^__u__ = 0 with positive operators __A__, __B__ are considered. The rates of decay and partition of energy theorems are established for solutions of these equations.