Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term

被引：4

作者：

Nie, Dongdong ^{[1
]}

Xie, Feng ^{[1
]}

机构：

[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

上海市自然科学基金;

关键词：

singular perturbation; asymptotic expansion; boundary layer function; maximum principle; NUMERICAL-SOLUTION; COEFFICIENTS;

D O I：

10.1186/s13661-016-0673-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of singularly perturbed semilinear elliptic boundary value problems with discontinuous source term on two different domains is considered in this article. The formal asymptotic solution is constructed by using the method of boundary layer functions. Furthermore, the uniform validity of the solutions is proved by using the maximum principle. Finally, as an illustration, an example is presented.

引用

页数：17

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