| 二阶复椭圆Riemann—Hilbert边值问题 |
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| 引用本文： | 黄沙,闻国椿.二阶复椭圆Riemann—Hilbert边值问题[J].应用泛函分析学报,2000,2(3):198-205. |
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| 作者姓名： | 黄沙 闻国椿 |
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| 作者单位： | 1. 河北师范大学数学系,河北,石家庄,050016
2. 北京大学数学系,北京,100871 |
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| 基金项目： | Supported by National Science Foundation of China(1 9771 0 68) and Hebei Province |
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| 摘 要： | 讨论了一般二阶非线性椭圆复方程的Riemann-Hilbert边值问题，首先给出Riemann-Hilbert问题及其适应性的概念，其次给出改进后的边值问题解的表述并证明了它的可解性，最后导出原Rremann-Hilbert边值问题的可解条件。
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| 关 键 词： | 非线性椭圆复方程 RIEMANN－HILBERT边值问题 可解性 |
The Riemann-Hilbert Boundary Value Problem for General Elliptic Complex Equations of Second Order |
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| HUANG Sha,WEN Guo-chun.The Riemann-Hilbert Boundary Value Problem for General Elliptic Complex Equations of Second Order[J].Acta Analysis Functionalis Applicata,2000,2(3):198-205. |
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| Authors: | HUANG Sha WEN Guo-chun |
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| Abstract: | This paper deals with the Riemann\|Hilbert boundary value problem for general nonlinear elliptic complex equations of second order. Firstly we propose the Riemann\|Hilbert problem and its well posedness, and then we give the representation of solutions for the modified boundary value problem and prove its solvability, and finally derive solvability conditions of the original Riemann\|Hilbert problem. |
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| Keywords: | the Riemann\|Hilbert problem nonlinear elliptic complex equations solvability |
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