| 二阶椭圆型方程奇摄动边值问题的渐近解 |
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| 引用本文： | 许进,刘树德.二阶椭圆型方程奇摄动边值问题的渐近解[J].数学研究,2013(1):85-90. |
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| 作者姓名： | 许进 刘树德 |
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| 作者单位： | 安徽师范大学数学计算机科学学院 |
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| 基金项目： | 国家自然科学基金(11202106);安徽省高校自然科学基金(KJ2010A153) |
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| 摘 要： | 研究了一类二阶线性椭圆型方程的奇摄动边值问题.利用边界层函数法构造出问题的零次形式近似,并应用椭圆型算子的最大值原理对问题的解作出渐近估计.
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| 关 键 词： | 奇摄动 椭圆型方程 边值问题 边界层函数法 最大值原理 |
Asymptotic Solutions of Singularly Perturbed Boundary Value Problems for Second Order Elliptic Equations |
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| Xu Jin Liu Shude.Asymptotic Solutions of Singularly Perturbed Boundary Value Problems for Second Order Elliptic Equations[J].Journal of Mathematical Study,2013(1):85-90. |
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| Authors: | Xu Jin Liu Shude |
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| Institution: | Xu Jin Liu Shude (College of Mathematics and Computer Science, Anhui Normal University,Wuhu Anhui 241000) |
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| Abstract: | Singularly perturbed boundary value problems for second order elliptic equa- tions are studied. The formal approximation of the problem is constructed by using the method of boundary layer functions, and the asymptotic estimate of the solutions is given by the maximum principle for elliptic operators. |
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| Keywords: | Singular perturbation Elliptic partial differential equations Boundaryvalue problem The method of boundary layer functions The maximum principle |
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