Extinction for a fast diffusion equation with a nonlinear nonlocal source
โ Scribed by Yuzhu Han; Wenjie Gao
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 220 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0003-889X
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๐ SIMILAR VOLUMES
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
In this paper, we deal with the extinction of solutions of the initial-boundary value problem of the p-Laplacian equation u t = div(|โu| p-2 โu) + ฮปu q in a bounded domain of R N with N โฅ 2. For 1 < p < 2, we show that q = p -1 is the critical exponent of extinction for the weak solution. Furthermor
## Abstract In this note we illuminate that the small condition on initial data __u__~0~ in Theorem 4.1 of Yin and Jin (__Math. Meth. Appl. Sci.__ 2007; **30**(10):1147โ1167) can be removed for the case __p__โ1<__q__<1. Precise decay estimates of solution are also obtained. Copyright ยฉ 2007 John Wi