Global and blow-up solutions for a quasilinear hyperbolic equation with strong damping
β Scribed by Fuqin Sun; Mingxin Wang; Huiling Li
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 431 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper, we study a nonlinear hyperbolic system with strong damping. Firstly, by use of the successive approximation method and a series of classical estimates, we prove the local existence and uniqueness of weak solution. Secondly, via some inequalities, applying the potential method and the
The type of problem under consideration is where D is a smooth bounded domain of R N, By constructing an auxiliary function and using Hopf's maximum principles on it, existence theorems of blow-up solutions, upper bound of "blow-up time", upper estimates of "blow-up rate", existence theorems of glo