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On the Critical Fujita Exponent for a Degenerate Parabolic System Coupled Via Nonlinear Boundary Flux

Published online by Cambridge University Press:  12 December 2008

Jun Zhou
Affiliation:
School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China
Chunlai Mu
Affiliation:
College of Mathematics and Physics, Chongqing University, Chongqing 400044, People's Republic of China
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Abstract

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In this paper, we deal with the non-negative solutions of a degenerate parabolic system with nonlinear coupled boundary conditions and non-negative non-trivial compactly supported initial data. The critical Fujita exponents are given and the blow-up rates of the non-global solution are obtained.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2008