## Abstract In this note we improve the result of Theorem 3.1 in Yin and Jin (__Math. Meth. Appl. Sci__. 2007; **30**(10):1147–1167) and establish a blow‐up result for certain solution with positive initial energy. Copyright © 2008 John Wiley & Sons, Ltd.
Critical extinction and blow-up exponents for fast diffusive p-Laplacian with sources
✍ Scribed by Jingxue Yin; Chunhua Jin
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 185 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.833
No coin nor oath required. For personal study only.
✦ Synopsis
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.
📜 SIMILAR VOLUMES
## 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):1147–1167) can be removed for the case __p__−1<__q__<1. Precise decay estimates of solution are also obtained. Copyright © 2007 John Wi
## 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