Singularly perturbed solution to semilinear reaction diffusion equations with two parameters

Jia-Qi MO;Shu-De LIU

doi:10.1007/s10483-009-0511-x

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 5: 653 - 658

DOI: https://doi.org/10.1007/s10483-009-0511-x

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Singularly perturbed solution to semilinear reaction diffusion equations with two parameters

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1. Department of Mathematics, Anhui Normal University, Wuhu 241000,Anhui Province, P. R. China;
2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU,Shanghai 200240, P. R. China

Received date: 2008-10-16

Revised date: 2009-03-25

Online published: 2009-05-01

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Abstract

A class of singularly perturbed initial boundary value problems for semilinear reaction diffusion equations with two parameters is considered. Under suitable conditions and using the theory of differential inequalities, the existence and the asymptotic behavior of the solution to the initial boundary value problem are studied.

Key words： nonlinear, two parameters, singular perturbation, reaction diffusion, initial layer, boundary layer

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Jia-Qi MO;Shu-De LIU . Singularly perturbed solution to semilinear reaction diffusion equations with two parameters[J]. Applied Mathematics and Mechanics, 2009 , 30(5) : 653 -658 . DOI: 10.1007/s10483-009-0511-x

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