SINGULARLY PERTURBED SEMILINEAR ELLIPTIC EQUATION WITH BOUNDARY-INTERIOR LAYER INTERACTION

被引：0

作者：

周哲彦

机构：

[1] Fujian Normal University

[2] Fuzhou

[3] Department of Mechanics

来源：

Applied Mathematics and Mechanics(English Edition) | 1992年 / 01期

关键词：

boundary layer; interior layer; semilinear elliptic equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider the phenomenon of the boundary and interior layer interactions for a class of semilinear elliptic equation. Under some appropriate conditions,we get the existence of the exact solution for the problem and its high order uniformly valid expansion.

引用

页码：77 / 90

页数：14

共 50 条

[1] THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION
Mo Jiaqi Yao Jingsun (Anhui Normal Univerisity
[J]. Analysis in Theory and Applications, 2001, (04) : 11 - 16
[2] BOUNDARY AND INTERIOR LAYER BEHAVIOR OF SOLUTIONS OF SOME SINGULARLY PERTURBED SEMILINEAR ELLIPTIC BOUNDARY-VALUE-PROBLEMS
DESANTI, AJ
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1986, 65 (03): : 227 - 262
[3] BOUNDARY AND INTERIOR LAYER PHENOMENA OF SINGULARLY PERTURBED NONLINEAR ELLIPTIC PROBLEMS
张祥
[J]. Acta Mathematica Scientia, 1999, (S1) : 589 - 597
[4] THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION OF HIGHER ORDER
Chen Songlin (East China Institute of Metallurgy
[J]. Analysis in Theory and Applications, 2000, (03) : 100 - 105
[5] A class of singularly perturbed robin boundary value problems for semilinear elliptic equation
Mo J.
[J]. Applied Mathematics-A Journal of Chinese Universities, 2001, 16 (4) : 364 - 368
[6] A CLASS OF SINGULARLY PERTURBED ROBIN BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION
Mo JiaqiDept.of Math.
[J]. Applied Mathematics:A Journal of Chinese Universities, 2001, (04) : 364 - 368
[7] EXISTENCE OF THE PERTURBED SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION IN THE SINGULARLY PERTURBED DOMAINS
JIMBO, S
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1988, 64 (02) : 33 - 36
[8] Singularly Perturbed Generalized Boundary Value Problems for Semilinear Elliptic Equation of Fourth Order
莫嘉琪
王辉
朱江
[J]. Communications in Mathematical Research, 2002, (02) : 111 - 116
[9] Nonmonotone　Interior　Layer　Solutions　for　Singularly　Perturbed　Semilinear　Boundary　Value　Problems　with　a　Turning　Point
魏宝社
周钦德
[J]. Communications in Mathematical Research, 1996, (02) : 127 - 135
[10] GRID APPROXIMATION OF SINGULARLY PERTURBED EQUATION WITH AN INTERIOR LAYER
SHISHKIN, GI
[J]. DOKLADY AKADEMII NAUK, 1993, 328 (03) : 299 - 302

← 1 2 3 4 5 →