Global Existence and Blow-Up for a Class of Degenerate Parabolic Systems with Localized Source
โ Scribed by Yuzhu Han; Wenjie Gao
- Publisher
- Springer Netherlands
- Year
- 2010
- Tongue
- English
- Weight
- 313 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0167-8019
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๐ SIMILAR VOLUMES
In this paper, we investigate the positive solution of nonlinear degenerate equation ut = u p ( u+au u q d x) with Dirichlet boundary condition. Conditions on the existence of global and blow-up solution are given. Furthermore, it is proved that there exist two positive constants C1; C2 such that
This paper deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut = A@ + v\*enu, vt = Au" + uaeflv with homogeneous Dirichlet boundary data. The results depend crucially on the sign of the difference pq -pclv and on the domain R.