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二阶复椭圆 Riemann-Hilbert 边值问题

黄沙 闻国椿

应用泛函分析学报2000,Vol.2Issue(3):198-205,8.
应用泛函分析学报2000,Vol.2Issue(3):198-205,8.

二阶复椭圆 Riemann-Hilbert 边值问题

The Riemann-Hilbert Boundary Value Problem for General Elliptic Complex Equations of Second Order

黄沙 1闻国椿2

作者信息

  • 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
  • 折叠

摘要

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.

关键词

Riemann-Hilbert问题/非线性椭圆复方程/可解性

Key words

the Riemann-Hilbert problem/nonlinear elliptic complex equations/solvability

分类

数理科学

引用本文复制引用

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):198-205,8.

基金项目

Supported by National Science Foundation of China (19771068) and Hebei Province (19771068)

应用泛函分析学报

OACSCD

1009-1327

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