| 平面上一阶椭圆型方程组的广义Riemann-Hilbert问题 |
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| 引用本文： | 宋洁,李明忠. 平面上一阶椭圆型方程组的广义Riemann-Hilbert问题[J]. 上海大学学报(自然科学版), 2006, 12(1): 26-30 |
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| 作者姓名： | 宋洁 李明忠 |
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| 作者单位： | 华东理工大学,数学系,上海,200237;上海大学,理学院,上海,200444;上海大学,理学院,上海,200444 |
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| 摘 要： | 讨论一阶椭圆型方程组的广义Riemann-Hilbert问题,利用广义解析函数和奇异积分理论以及不动点原理,证明在适当的假设下,此边值问题可解.
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| 关 键 词： | 广义Riemann-Hilbert问题 椭圆型方程组 不动点原理 |
| 文章编号： | 1007-2861（2006）01-0026-05 |
| 收稿时间： | 2005-03-21 |
| 修稿时间： | 2005-03-21 |
Generalized Riemann-Hilbert Problem for the First Order Elliptic Systems in a Plane |
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| SONG Jie,LI Ming-zhong. Generalized Riemann-Hilbert Problem for the First Order Elliptic Systems in a Plane[J]. Journal of Shanghai University(Natural Science), 2006, 12(1): 26-30 |
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| Authors: | SONG Jie LI Ming-zhong |
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| Affiliation: | 1. Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China ; 2. School of Sciences, Shanghai University, Shanghai 200444, China |
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| Abstract: | The generalized Riemann-Hilbert problem for the first order elliptic systems is studied.By using the generalized analytic function theorem,the singular integral theorem,and fixed-point theorem,it has been shown that the problem is solvable under certain assumptions. |
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| Keywords: | generalized Riemann-Hilbert problem elliptic systems fixed point theorem |
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