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Singularly perturbed solution to semilinear reaction diffusion equations with two parameters

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【Author】 Jia-qi MO1,2,Shu-de LIU1,2(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)

【机构】 Department of Mathematics,Anhui Normal University； Division of Computational Science,E-Institute of Shanghai Universities at SJTU；

【摘要】 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.更多还原

【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.更多还原

【关键词】 nonlinear； two parameters； singular perturbation； reaction diffusion； initial layer； boundary layer；
【Key words】 nonlinear； two parameters； singular perturbation； reaction diffusion； initial layer； boundary layer；

【基金】 supported by the National Natural Science Foundation of China (Nos.40676016,40876010);the Key Innovation Project of the Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);the E-Institute of Shanghai Municipal Education Commission (No. E03004)

【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,2009年05期

【分类号】O175.29
【下载频次】32

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