Critical exponents and non-extinction for a fast diffusive polytropic filtration equation with nonlinear boundary sources
✍ Scribed by Chunhua Jin; Jingxue Yin
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 197 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We discuss and determine the critical extinction and blow‐up exponents for the homogeneous Dirichlet boundary value problem of the fast diffusive __p__‐Laplacian with sources. Copyright © 2007 John Wiley & Sons, Ltd.
In this paper, we deal with the extinction of solutions of the initial-boundary value problem of the p-Laplacian equation u t = div(|∇u| p-2 ∇u) + λu q in a bounded domain of R N with N ≥ 2. For 1 < p < 2, we show that q = p -1 is the critical exponent of extinction for the weak solution. Furthermor
## Abstract We consider the Dirichlet problem for a non‐local reaction–diffusion equation with integral source term and local damping involving power non‐linearities. It is known from previous work that for subcritical damping, the blow‐up is global and the blow‐up profile is uniform on all compact