On global solution of an initial boundary value problem for a class of damped nonlinear equations
β Scribed by Qun Lin; Yong Hong Wu; Shaoyong Lai
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 589 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
This paper gives the sufficient conditions of blow-up of the solution of a nonlinear damped hyperbolic equation with the initial boundary wlue conditions in finite time and proves the existence and uniqueness of the local generalized solution of this problem.
## Abstract The paper studies the existence, asymptotic behaviour and stability of global solutions to the initial boundary value problem for a class of strongly damped nonβlinear wave equations. By a H00.5ptkβGalerkin approximation scheme, it proves that the aboveβmentioned problem admits a unique