Extinction for a couple of fast diffusion systems with nonlinear sources
β Scribed by Chen, Yujuan; Wang, Juan; Zhang, Haixing
- Book ID
- 119947188
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 328 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1468-1218
No coin nor oath required. For personal study only.
π 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):1147β1167) can be removed for the case __p__β1<__q__<1. Precise decay estimates of solution are also obtained. Copyright Β© 2007 John Wi
## Abstract We discuss and determine the critical extinction and blowβup exponents for the homogeneous Dirichlet boundary value problem of the fast diffusive __p__βLaplacian with sources. Copyright Β© 2007 John Wiley & Sons, Ltd.
This paper considers the Neumann problem for several types of systems with nonlocal nonlinear terms. We first give the blow-up conditions. And then, for the blow-up solution, we establish the precise blow-up estimates and show the blow-up set is the whole region.
In this paper, we consider a non-autonomous predator-prey system in a poor patchy environment. Under the assumption that the intrinsic growth rates of the species may be negative, sufficient conditions are obtained for the permanence and extinction of the system considered.