反应扩散方程的内层和边界层解(英文)  

The Interior and Boundary Layers Solution for Reaction Diffusion Equations

作　　者：姚静荪[1] 莫嘉琪[1,2] 

机构地区：[1]安徽师范大学数学系,芜湖安徽241003 [2]湖州师范学院理学院,湖州浙江313000

出　　处：《数学进展》2013年第2期159-164,共6页Advances in Mathematics（China）

基　　金：Project supported by NSFC(No.40876010);the "Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues" of the Chinese Academy of Sciences(No.XDA01020304);the Natural Science Foundation from the Education Bureau of Anhui Province(No.KJ2011A135,No.KJ2011Z003);the Natural Science Foundation of Jiangsu Province(No.BK2011042)

摘　　要：本文讨论了一类半线性反应扩散方程初始边值问题.在适当的条件下,利用微分不等式理论,研究了初始边值问题内层和边界层解的存在性和渐近性态.A class of initial boundary value problem for semilinear reaction diffusion equations is considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptotic behavior of the interior and boundary layers solution for initial boundary value problem are studied.

关 键 词：内层 边界层 渐近解 

分 类 号：O175.29[理学—数学]