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On the blow-up rate of large solutions for a porous media logistic equation on radial domain
- Source :
-
Journal of Mathematical Analysis & Applications . May2007, Vol. 329 Issue 1, p347-356. 10p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper we establish the exact blow-up rate of the large solutions of a porous media logistic equation. We consider the carrying capacity function with a general decay rate at the boundary instead of the usual cases when it can be approximated by a distant function. Obtaining the accurate blow-up rate allows us to establish the uniqueness result. Our result covers all previous results on the ball domain and can be further adapted in a more general domain. [Copyright &y& Elsevier]
- Subjects :
- *POROUS materials
*EQUATIONS
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 329
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 23760952
- Full Text :
- https://doi.org/10.1016/j.jmaa.2006.05.053