| 一阶拟线性退化椭圆型复方程的问断Riemann—Hilbert问题 |
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| 引用本文： | 闻国椿 杨丕文. 一阶拟线性退化椭圆型复方程的问断Riemann—Hilbert问题[J]. 四川师范大学学报(自然科学版), 2007, 30(2): 167-172 |
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| 作者姓名： | 闻国椿 杨丕文 |
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| 作者单位： | [1]北京大学数学学院,北京100871 [2]四川师范大学数学与软件科学学院,四川成都610066 |
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| 基金项目： | 国家自然科学基金（10671207）资助项目 |
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| 摘 要： | 讨论退化秩为0的一阶拟线性椭圆型复方程的间断Riemann—Hilbert问题．先给出这个问题的提法和解的表示式，然后使用复分析方法证明了上述一阶椭圆型复方程Riemann—Hilbert解的存在性和唯一性．
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| 关 键 词： | 间断Riemann—Hilbert边值问题 拟线性椭圆型复方程 退化秩为0 |
| 文章编号： | 1001-8395（2007）02-0167-06 |
| 收稿时间： | 2006-01-10 |
| 修稿时间： | 2006-01-10 |
Discontinuous Riemann-Hilbert Problem for Quasilinear Degenerate Elliptic Complex Equations of First Order |
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| WEN Guo-chun YANG Pi-wen. Discontinuous Riemann-Hilbert Problem for Quasilinear Degenerate Elliptic Complex Equations of First Order[J]. Journal of Sichuan Normal University(Natural Science), 2007, 30(2): 167-172 |
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| Authors: | WEN Guo-chun YANG Pi-wen |
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| Affiliation: | 1. School of Mathematical Sciences, Peking University, Beijing 100871 ; 2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
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| Abstract: | In this paper the discontinuous Riemann-Hilbert problem for quasilinear elliptic complex equations of first order with degenerate rank 0 is discussed. Firstly the representation of solutions of the boundary value problem for the equations is given, and then the existence and uniqueness of solutions for the problem are proved by using the complex analytic method. |
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| Keywords: | Discontinuous Riemarm-Hilbert problem Quasilinear elliptic complex equations Degenerate rank 0 |
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