| 多连通区域上一阶椭圆型复方程的Riemann-Hilbert问题与其适定性 |
| |
| 引用本文： | 闻国椿,王丽萍.多连通区域上一阶椭圆型复方程的Riemann-Hilbert问题与其适定性[J].数学研究及应用,2014,34(4):435-445. |
| |
| 作者姓名： | 闻国椿 王丽萍 |
| |
| 作者单位： | 北京大学数学科学学院, 北京 100872;河北师范大学数学与信息科学学院, 河北 石家庄 050024 |
| |
| 基金项目： | 国家自然科学基金(Grant No.11171349),河北省科学基金(Grant No.A2010000346). |
| |
| 摘 要： | In this article, we first propose the Riemann-Hilbert problem for uniformly elliptic complex equations of first order and its well-posed-ness in multiply connected domains.Then we give the integral representation of solutions for modified Riemann-Hilbert problem of the complex equations. Moreover we shall obtain a priori estimates of solutions of the modified Riemann-Hilbert problem and verify its solvability. Finally the solvability results of the original boundary value problem can be obtained.
|
| 关 键 词： | 希尔伯特问题 椭圆型复方程 多连通区域 黎曼 一阶 解的先验估计 边值问题 可解性 |
| 收稿时间： | 2013/4/22 0:00:00 |
| 修稿时间： | 2014/2/24 0:00:00 |
Riemann-Hilbert Problem and Its Well-Posed-Ness for Elliptic Complex Equations of First Order in Multiply Connected Domains |
| |
| Guochun WEN and Liping WANG.Riemann-Hilbert Problem and Its Well-Posed-Ness for Elliptic Complex Equations of First Order in Multiply Connected Domains[J].Journal of Mathematical Research with Applications,2014,34(4):435-445. |
| |
| Authors: | Guochun WEN and Liping WANG |
| |
| Institution: | LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China;College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China |
| |
| Abstract: | In this article, we first propose the Riemann-Hilbert problem for uniformly elliptic complex equations of first order and its well-posed-ness in multiply connected domains. Then we give the integral representation of solutions for modified Riemann-Hilbert problem of the complex equations. Moreover we shall obtain a priori estimates of solutions of the modified Riemann-Hilbert problem and verify its solvability. Finally the solvability results of the original boundary value problem can be obtained. |
| |
| Keywords: | Riemann-Hilbert problems quasilinear elliptic complex equations multiply connected domains priori estimates and existence of solutions |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
