奇摄动椭圆型方程Robin问题的广义解

Generalized Solution of Singularly Perturbed EllipticEquation Robin Problems

MO Jiaqi¹,², CHEN Xiu³

1. Department of Mathematics, Anhui Normal University, Wuhu 241000, Anhui Province, China;2. Division of Computational Science, EInstitutes of Shanghai Universities at SJTU, Shanghai 200240, China;3. Department of Mathematics and Physics, Hefei University, Hefei 230601, China

Received:2007-10-29 Revised:1900-01-01 Online:2008-07-26 Published:2008-07-26
Contact: MO Jiaqi

Abstract

Abstract: In this paper, a class of the singularly perturbed Robin boundary value problem for elliptic equation is considered. Under suitable conditions, the existence, uniqueness and asymptotic behavior of the generalized solution for the problems were studied by means of the theory of differential inequalities, obtaining the uniformly valid asymptotic expansion of the solution.

Key words: elliptic equation, Robin problem, singular perturbation, generalized solution 

CLC Number:

O175.26

MO Jiaqi,, CHEN Xiu. Generalized Solution of Singularly Perturbed EllipticEquation Robin Problems[J].J4, 2008, 46(04): 587-590.

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Generalized Solution of Singularly Perturbed EllipticEquation Robin Problems

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