Local estimates and global existence for strongly nonlinear parabolic equations with locally integrable data
โ Scribed by Fabiana Leoni; Benedetta Pellacci
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 251 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1424-3199
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๐ SIMILAR VOLUMES
In this paper, we study the strict localization for the doubly degenerate parabolic equation with strongly nonlinear sources, We prove that, for non-negative compactly supported initial data, the strict localization occurs if and only if q m(p-1).
We establish local existence and comparison for a model problem which incorporates the effects of non-linear diffusion, convection and reaction. The reaction term to be considered contains a non-local dependence, and we show that local solutions can be obtained via monotone limits of solutions to ap
The existence, uniqueness, and L ฯฑ estimate of the weak solution to the initial boundary value problem for the doubly nonlinear parabolic equation ลฝ . t with zero boundary condition in a bounded domain โ ; R N are established. In particular, the behavior of the solution as t ยช 0 q and t ยช qฯฑ is in