Holder Estimates for Local Solutions of Some Doubly Nonlinear Degenerate Parabolic Equations
โ Scribed by M.M. Porzio; V. Vespri
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 883 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0022-0396
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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).
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