椭圆型方程奇摄动问题的广义解

莫嘉琪

系统科学与数学 ›› 2008, Vol. 28 ›› Issue (3) : 379-384.

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PDF(303 KB)
系统科学与数学 ›› 2008, Vol. 28 ›› Issue (3) : 379-384. DOI: 10.12341/jssms10078
论文

椭圆型方程奇摄动问题的广义解

    莫嘉琪(1)(2)
作者信息 +

Generalized Solution of Singularly Perturbed Problems for Elliptic Equation

    MO Jiaqi(1)(2)
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摘要

讨论了一类奇摄动椭圆型方程边值问题.在适当的条件下,研究了问题广义解的存在、唯一性及其渐近性态.

Abstract

The singularly perturbed boundary value problems for elliptic equation are considered. Under suitable conditions the existence, uniqueness and asymptotic behavior of the generalized solution for the problems are studied.

关键词

椭圆型方程 / 奇异摄动 / 广义解.

Key words

Elliptic equation / singular perturbation / generalized solution.

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导出引用
莫嘉琪. 椭圆型方程奇摄动问题的广义解. 系统科学与数学, 2008, 28(3): 379-384. https://doi.org/10.12341/jssms10078
MO Jiaqi. Generalized Solution of Singularly Perturbed Problems for Elliptic Equation. Journal of Systems Science and Mathematical Sciences, 2008, 28(3): 379-384 https://doi.org/10.12341/jssms10078
中图分类号: 35B25    35J60   
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