| 一阶退化椭圆型复方程在多连通区域上的Riemann-Hilbert 边值问题 |
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| 引用本文： | 闻国椿.一阶退化椭圆型复方程在多连通区域上的Riemann-Hilbert 边值问题[J].烟台大学学报(自然科学与工程版),2005,18(3):164-170,211. |
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| 作者姓名： | 闻国椿 |
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| 作者单位： | 北京大学,数学学院,北京,100871 |
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| 基金项目： | 国家自然科学基金资助项目(10471149) |
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| 摘 要： | 讨论一阶退化椭圆型复方程在多连通区域上的Riemann Hilbert边值问题.文中先给出这种边值问题的表示式,然后证明上述边值问题解的存在性和唯一性.
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| 关 键 词： | Riemann-Hilbert边值问题 退化椭圆型复方程 多连通区域 |
| 文章编号： | 1004-8820(2005)03-0164-07 |
The Riemann-Hilbert Problem for Degenerate Elliptic Complex Equations of First Order in Multiply Connected Domains |
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| WEN Guo-chun.The Riemann-Hilbert Problem for Degenerate Elliptic Complex Equations of First Order in Multiply Connected Domains[J].Journal of Yantai University(Natural Science and Engineering edirion),2005,18(3):164-170,211. |
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| Authors: | WEN Guo-chun |
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| Abstract: | This article deals with the Riemann-Hilbert problem for degenerate elliptic complex equations of first order in multiply connected domains. Firstly the representation of solutions of the boundary value problem for the equations is given, and then the uniqueness and existence of solutions for the problem are proved. |
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| Keywords: | the Riemann-Hilbert problem degenerate elliptic complex equations multiply connected domains |
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