Boundedness and blowup for nonlinear degenerate parabolic equations
โ Scribed by Shaohua Chen
- Book ID
- 108216046
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 467 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
For a wide class of nonlinear parabolic equations of the form u y โฌ u s t ลฝ . F u, ูu , we prove the nonexistence of global solutions for large initial data. We also estimate the maximal existence time. To do so we use a method of comparison with suitable blowing up self-similar subsolutions. As a c
This paper deals with degenerate diffusion equations with nonlocal sources. The local existence of a classical solution is given. By making use of super-and sub-solution method we show that the solution exists globally or blows up in finite time under some conditions. Furthermore, the blowup rates o