Initial value problems and first boundary problems for a class of quasilinear wave equations
β Scribed by Guowang Chen; Zhijian Yang; Zhancai Zhao
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1993
- Tongue
- English
- Weight
- 545 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0168-9673
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## 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
In this paper, we deal with a class of pseudoparabolic problems with integral boundary conditions. We will first establish an a priori estimate. Then, we prove the existence, uniqueness and continuous dependence of the solution upon the data. Finally, some extensions of the problem are given.