一般形式的一阶椭圆组的非线性Riemann问题  

On the Nonlinear Riemann Problems for General First Elliptic Systems in the Plane

作　　者：李明忠[1] 宋洁[2] 

机构地区：[1]上海大学数学系,上海200436 [2]华东理工大学数学系,上海200237

出　　处：《应用数学和力学》2005年第1期72-76,共5页Applied Mathematics and Mechanics

基　　金：上海市科委科技发展基金资助项目(01ZA14023)

摘　　要：　讨论一般形式的一阶线性和拟线性椭圆型方程的非线性Riemann问题,通过把这些问题转化为奇异积分方程。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.

关 键 词：RIEMANN问题 椭圆型方程 奇异积分方程 

分 类 号：O175[理学—数学] O231[理学—基础数学]