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半线性奇摄动椭圆型方程边值问题的渐近解

程燕

数学杂志2005,Vol.25Issue(1):25-29,5.
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

程燕1

作者信息

  • 1. 中国人民解放军炮兵学院基础部,安徽,合肥,230031
  • 折叠

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)

数学杂志

OA北大核心CSCD

0255-7797

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