ON THE NONLINEAR RIEMANN PROBLEMS FOR GENERAL FIRST ELLIPTIC SYSTEMS IN THE PLANE

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (1): 79-84 .

ON THE NONLINEAR RIEMANN PROBLEMS FOR GENERAL FIRST ELLIPTIC SYSTEMS IN THE PLANE

李明忠, 宋洁

收稿日期:2002-12-29 修回日期:2004-10-08 出版日期:2005-01-18 发布日期:2005-01-18
通讯作者: 李明忠

ON THE NONLINEAR RIEMANN PROBLEMS FOR GENERAL FIRST ELLIPTIC SYSTEMS IN THE PLANE

LI Ming-zhong, SONG Jie

1. Department of Mathematics, Shanghai University, Shanghai 200444, P.R.China;
2. Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P.R.China

Received:2002-12-29 Revised:2004-10-08 Online:2005-01-18 Published:2005-01-18
Contact: LI Ming-zhong

摘要/Abstract

Abstract: The nonlinear Riemann problem for general systems of the first-order linear and quasi-linear equations in the plane are considered.It translates them to singular integral equations and proves the existence of the solution by means of contract principle or general contract principle.The known results are generalized.

Key words: singular integral equation, Riemann problem, elliptic system

中图分类号:

李明忠;宋洁. ON THE NONLINEAR RIEMANN PROBLEMS FOR GENERAL FIRST ELLIPTIC SYSTEMS IN THE PLANE[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(1): 79-84 .

LI Ming-zhong;SONG Jie. ON THE NONLINEAR RIEMANN PROBLEMS FOR GENERAL FIRST ELLIPTIC SYSTEMS IN THE PLANE[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(1): 79-84 .

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ON THE NONLINEAR RIEMANN PROBLEMS FOR GENERAL FIRST ELLIPTIC SYSTEMS IN THE PLANE

ON THE NONLINEAR RIEMANN PROBLEMS FOR GENERAL FIRST ELLIPTIC SYSTEMS IN THE PLANE

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