| 关于多连通区域上解析函数的Riemann-Hilbert边值问题 |
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| 引用本文： | 王莉萍.关于多连通区域上解析函数的Riemann-Hilbert边值问题[J].中国海洋大学学报(自然科学版),1993(4). |
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| 作者姓名： | 王莉萍 |
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| 作者单位： | 青岛海洋大学应用数学系 |
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| 摘 要： | 讨论N+1连通区域上解析函数的Riemann—Hilbert边值问题,利用解析函数边值问题的理论,通过解析函数变态的Riemann—Hilbert边值问题解的存在唯一性及调和测度的性质,研究解析函数的Riemann—Hilbert边值问题,给出了此问题解的存在唯一性。
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| 关 键 词： | Riemann—Hilbert边值问题 解析函数 N+1连通区域 |
RIEMANN-HILBERT BOUNDARY VALUE PROBLEM FOR ANALYTIC FUNCTION IN SEVERAL CONNECTED REGION |
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| Wang Liping.RIEMANN-HILBERT BOUNDARY VALUE PROBLEM FOR ANALYTIC FUNCTION IN SEVERAL CONNECTED REGION[J].Periodical of Ocean University of China,1993(4). |
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| Authors: | Wang Liping |
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| Institution: | Department of Applied Mathematics |
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| Abstract: | This paper discusses the Riemann - Hilbert boundary value problem for analytic functions in N + 1 connected region. By means of the theory of analytic function boundary value problems and by using the existence and uniqueness of solutions of modefied Riemann -Hilbert boundary value problem for analytic functions and the property of harmonic measure, the Riemann -Hilbert boundary value problem for analytic functions in several connected region is studied, and its existence and u-niqueness theorem is obtained. |
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| Keywords: | Riemann -Hilbert boundary value problem analytic function N + 1 connected region |
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