Singularly perturbed solution to semilinear reaction diffusion equations with two parameters
Singularly perturbed solution to semilinear reaction diffusion equations with two parameters作者机构:Department of MathematicsAnhui Normal University Division of Computational ScienceE-Institute of Shanghai Universities at SJTU
出 版 物:《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))
年 卷 期:2009年第30卷第5期
页 面:653-658页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程(可授工学、理学学位)] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学(可授工学、理学学位)]
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)
主 题:nonlinear two parameters singular perturbation reaction diffusion initial layer boundary layer
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.