| 奇摄动椭圆型方程Robin问题的广义解 |
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| 引用本文： | 莫嘉琪,陈秀.奇摄动椭圆型方程Robin问题的广义解[J].吉林大学学报(理学版),2008,46(4):587-590. |
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| 作者姓名： | 莫嘉琪 陈秀 |
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| 作者单位： | 1. 安徽师范大学 数学系, 安徽 芜湖 241000; 2. 上海高校计算科学E 研究院 上海交通大学研究所, 上海 200240;3. 合肥学院 数理系, 合肥 230601 |
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| 基金项目： | 国家自然科学基金
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国家重点基础研究发展规划项目基金
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中国科学院知识创新工程方向性项目基金
,
上海市教委E-研究院建设计划项目基金
,
安徽省教育厅重点科研项目基金 |
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| 摘 要： | 研究一类奇摄动椭圆型方程的Robin边值问题. 在适当
条件下, 利用微分不等式理论, 给出了问题广义解的存在、 惟一性及其渐近性态, 并得到了解的一致有效渐近展开式.
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| 关 键 词： | 椭圆型方程 Robin问题 奇异摄动 广义解 |
| 收稿时间： | 2007-10-29 |
Generalized Solution of Singularly Perturbed Elliptic Equation Robin Problems |
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| MO Jia-qi,CHEN Xiu.Generalized Solution of Singularly Perturbed Elliptic Equation Robin Problems[J].Journal of Jilin University: Sci Ed,2008,46(4):587-590. |
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| Authors: | MO Jia-qi CHEN Xiu |
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| Institution: | 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 |
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| 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. |
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| Keywords: | elliptic equation Robin problem singular perturbation generalized solution |
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