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 |
一阶椭圆型复方程组Riemann-Hilbert边值问题 |
On Riemann-Hilbert Boundary Value Problem for Complex Elliptic System of First Equations |
投稿时间:1993-06-03 |
DOI:10.3770/j.issn:1000-341X.1996.01.004 |
中文关键词: |
英文关键词:Riemann-Hilbert boundary value problem quasilinear elliptic system analytic function prior estimate. |
基金项目: |
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中文摘要: |
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. |
英文摘要: |
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. |
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