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blow-up rate

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On the Critical Fujita Exponent for a Degenerate Parabolic System Coupled Via Nonlinear Boundary Flux
Jun Zhou, Chunlai Mu
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 51 / Issue 3 / October 2008

Published online by Cambridge University Press:

12 December 2008, pp. 785-805
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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.