数学杂志2005,Vol.25Issue(1):25-29,5.
半线性奇摄动椭圆型方程边值问题的渐近解
ASYMPTOTIC SOLUTION OF A BOUNDARY PROBLEM FOR THE SEMILINEAR SINGULARLY PERTURBED ELLIPTICAL EQUATION
摘要
Abstract
In this paper, the asymptotic expansion of the boundary problem for the semilinear singularly perturbed elliptical equation is constructed by the method of boundary layer correction. The uniformly validity of the constructed asymptotic expansion is proved.关键词
渐近性/边界层函数/椭圆型方程/奇摄动/比较定理Key words
asymptotic/boundary layer function/elliptic equation/comparison theorem分类
数理科学引用本文复制引用
程燕..半线性奇摄动椭圆型方程边值问题的渐近解[J].数学杂志,2005,25(1):25-29,5.基金项目
Supported by the National Natural Science Foundation of China (10071048) (10071048)