具有两参数的非线性椭圆型方程边值问题解的渐近性态

莫嘉琪

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (9) : 1185-1190.

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PDF(241 KB)
系统科学与数学 ›› 2010, Vol. 30 ›› Issue (9) : 1185-1190. DOI: 10.12341/jssms09257
论文

具有两参数的非线性椭圆型方程边值问题解的渐近性态

    莫嘉琪
作者信息 +

Asymptotic Behavior of Solution for Boundary Value Problem of Nonlinear Elliptic Equations with Two Parameters

    MO Jiaqi
Author information +
文章历史 +

摘要

讨论一类具有双参数的非线性椭圆型方程边值问题. 引入多重尺度变量, 构造问题的形式渐近解.
利用微分不等式理论, 证明边值问题渐近解的存在性和一致有效性. 由解的结构指出, 在两参数一定的情况下,相应问题的解只具有一个边界层.

Abstract

A class of boundary value problem for nonlinesr elliptic equations with two
parameters is considered. Introducing the variables of multiple scales, the formal asymptotic solution is constructed. By using the theory of differential inequalities, the existence and uniform validity of the asymptotic solution for boundary value problem are proved.

关键词

非线性椭圆型方程 / 边值问题 / 奇摄动.

Key words

Nonlinear elliptic equations / boundary value problem / singular perturbation.

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导出引用
莫嘉琪. 具有两参数的非线性椭圆型方程边值问题解的渐近性态. 系统科学与数学, 2010, 30(9): 1185-1190. https://doi.org/10.12341/jssms09257
MO Jiaqi. Asymptotic Behavior of Solution for Boundary Value Problem of Nonlinear Elliptic Equations with Two Parameters. Journal of Systems Science and Mathematical Sciences, 2010, 30(9): 1185-1190 https://doi.org/10.12341/jssms09257
中图分类号: 35B25   
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