四阶一般椭圆型复方程的Riemann-Hilbert 问题

数学季刊 ›› 1999, Vol. 14 ›› Issue (1): 35-42.

四阶一般椭圆型复方程的Riemann-Hilbert 问题

Department of Mathematics，Peking University，100871; Department of Mathematics，Hebei Normal University，050016

收稿日期:1996-12-26 出版日期:1999-03-30 发布日期:2024-10-09
基金资助:
Project supported by the Natural Science Foundation of China （19771068） and Hebei Province．

The Riemann Hilbert Problem for General Elliptic Complex Equations of Fourth Order

Department of Mathematics，Peking University，100871; Department of Mathematics，Hebei Normal University，050016

Received:1996-12-26 Online:1999-03-30 Published:2024-10-09
Supported by:
Project supported by the Natural Science Foundation of China （19771068） and Hebei Province．

摘要/Abstract

摘要： This paper deals with the existence theorem and Riemann Hilbert boundary value problem for general nonlinear elliptic complex equations of fourth order. Firstly we give the representation and existence theorem of solutions for the complex equations. Moreover,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 solvsbility,and finally derive solvability conditions of the original Riemann Hilbert problem.

关键词: , Riemann-Hilbert problem；elliptic complex equations

Abstract: This paper deals with the existence theorem and Riemann Hilbert boundary value problem for general nonlinear elliptic complex equations of fourth order. Firstly we give the representation and existence theorem of solutions for the complex equations. Moreover,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 solvsbility,and finally derive solvability conditions of the original Riemann Hilbert problem.

Key words: , Riemann-Hilbert problem；elliptic complex equations

中图分类号:

O175

闻国椿, 黄沙. 四阶一般椭圆型复方程的Riemann-Hilbert 问题[J]. 数学季刊, 1999, 14(1): 35-42.

Wen Guochu, Huang Sha. The Riemann Hilbert Problem for General Elliptic Complex Equations of Fourth Order[J]. Chinese Quarterly Journal of Mathematics, 1999, 14(1): 35-42.

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