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.
出处
《数学进展》
CSCD
北大核心
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)
关键词
内层
边界层
渐近解
interior layer
boundary layer
asymptotic solution
作者简介
E-mail： jsyao@mail.ahnu.edu.cn;
E-mail： mojiaqi@mail.ahnu.edu.cn
