Global existence and blow-up to a reaction-diffusion system with nonlinear memory
Lili Du - School of Mathematics Sciences, South China University of Technology, Guangzhou 510640,, China (email)
Abstract: In this paper, we consider a reaction-diffusion system coupled by nonlinear memory. Under appropriate hypotheses, we prove that the solution either exists globally or blows up in finite time. Furthermore, the blow-up rate estimates are obtained.
Keywords: Global existence, blow-up, reaction-diffusion
system, nonlinear memory
Received: October 2004; Revised: May 2005; Published: September 2005.
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