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Asymptotic analysis for reaction-diffusion equations with absorption

Wanjuan Du* and Zhongping Li

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College of Mathematic and Information, China West Normal University, Nanchong, 637009, P.R. China

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Citation and License

Boundary Value Problems 2012, 2012:84 doi:10.1186/1687-2770-2012-84

Published: 2 August 2012

Abstract

In this paper, we study the blow-up and nonextinction phenomenon of reaction-diffusion equations with absorption under the null Dirichlet boundary condition. We at first discuss the existence and nonexistence of global solutions to the problem, and then give the blow-up rate estimates for the nonglobal solutions. In addition, the nonextinction of solutions is also concerned.

MSC: 35B33, 35K55, 35K60.

Keywords:
reaction-diffusion; absorption; blow-up; blow-up rate; non-extinction