ON THE ASYMPTOTIC BEHAVIOR OF ELLIPTIC, ANISOTROPIC SINGULAR PERTURBATIONS PROBLEMS

被引：16

作者：

Chipot, Michel ^{[1
]}

Guesmia, Senoussi ^{[1
]}

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2009年 / 8卷 / 01期

基金：

瑞士国家科学基金会;

关键词：

Anisotropic singular perturbations; asymptotic behavior; elliptic problems;

D O I：

10.3934/cpaa.2009.8.179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider anitropic singular perturbations of some elliptic boundary value problems. We study the asymptotic behavior as epsilon -> 0 for the solution. Strong convergence in some Sobolev spaces is proved and the rate of convergence in cylindrical domains is given.

引用

页码：179 / 193

页数：15

共 8 条

[1]

BRIGHI B, 2007, DISCRETE CONTIN DY S, P160

[2]

CHIPOT M, 2002, GOES PLUS INFINITY

[3] Exponential rates of convergence by an iteration technique [J].

Chipot, Michel ;

Yeressian, Karen .

COMPTES RENDUS MATHEMATIQUE, 2008, 346 (1-2) :21-26

[4]

Chipot M, 2007, ASYMPTOTIC ANAL, V55, P125

[5]

Gilbarg D., 1983, Grundlehren der mathematischen Wissenschaften, V224, DOI 10.1007/978-3-642-61798-0

[6]

Guesmia S., 2008, ELECTRON J DIFFER EQ, V59, P1

[7]

Guesmia S., 2006, THESIS U HAUTE ALSAC

[8]

Lions J.-L., 1973, Lecture Notes in Mathematics, V323

← 1 →