Extinction for fast diffusion equations with nonlinear sources

We establish conditions for the extinction of solutions, in finite time, of the fast diffusion problem $u_t=Delta u^m+lambda u^p$, 0 less than $m$ less than 1, in a bounded domain of $R^N$ with $N$ greater than 2. More precisely, we show that if p greater than m, the solution with small initial data...

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Bibliographic Details
Main Authors: Yuxiang Li, Jichun Wu
Format: Article
Language:English
Published: Texas State University 2005-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/23/abstr.html