On the asymptotics of a solution to an equation with a small parameter at some of the highest derivatives

被引：0

作者：

Lelikova, E. F. ^{[1
,2
]}

机构：

[1] Ural Fed Univ, Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg, Russia

[2] Ural Fed Univ, Russian Acad Sci, Inst Math & Mech, Ural Branch,Physicomath Sci, Ekaterinburg, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2012年 / 18卷 / 02期

关键词：

small parameter; asymptotic expansions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behavior of a solution of the first boundary value problem for a second-order elliptic equation in a nonconvex domain with smooth boundary in the case where the small parameter is a factor at only some of the highest derivatives and the limit equation is an ordinary differential equation. Although the limit equation has the same order as the initial equation, the problem under consideration is singulary perturbed. The asymptotic behavior of a solution of this problem is studied by the method of matched asymptotic expansions.

引用

页码：170 / 178

页数：9

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