Asymptotic analysis for reaction-diffusion equations with absorption
College of Mathematic and Information, China West Normal University, Nanchong, 637009, P.R. China
Boundary Value Problems 2012, 2012:84 doi:10.1186/1687-2770-2012-84Published: 2 August 2012
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.