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一阶椭圆型复方程组Riemann-Hilbert边值问题
引用本文:王莉萍.一阶椭圆型复方程组Riemann-Hilbert边值问题[J].数学研究及应用,1996,16(1):21-27.
作者姓名:王莉萍
作者单位:青岛海洋大学应用数学系
摘    要:本文以解析函数的边值问题B的解的存在性为基础,根据它们的先验估计式及利用参数开拓法,导出了满足条件C的多个复变量的一阶拟线性椭圆型复方程组的Riemann-Hilbert边值问题的可解条件,并给出了解的积分表达式.

收稿时间:6/3/1993 12:00:00 AM

On Riemann-Hilbert Boundary Value Problem for Complex Elliptic System of First Equations
Wang Liping.On Riemann-Hilbert Boundary Value Problem for Complex Elliptic System of First Equations[J].Journal of Mathematical Research with Applications,1996,16(1):21-27.
Authors:Wang Liping
Institution:Dept. of Appl. Math.; Ocean Univ. of Qingdao; 266003
Abstract:On the base of the existence theroem of boudary value problem B of analytic function, according to the prior estimates of its borndary value probems solution and by using the method of parameter extansion, their solvability conditions and integral expression of solutions for Riemann-Hilbert boundary value problems of several complex variables and quasilinear elliptic systems that satisfied the so-called condition C of first order equations is established.
Keywords:Riemann-Hilbert boundary value problem  quasilinear elliptic system  analytic function  prior estimate  
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