| 解析函数黎曼－希尔伯特边值问题在多连通区域上的适定提法 |
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| 引用本文： | 闻国椿,吴文燧. 解析函数黎曼－希尔伯特边值问题在多连通区域上的适定提法[J]. 烟台大学学报(自然科学与工程版), 1996, 0(1) |
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| 作者姓名： | 闻国椿 吴文燧 |
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| 作者单位： | 北京大学数学系，贵州大学数学系 |
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| 摘 要： | 我们先给出解析函数黎曼－希尔伯特边值问题在多连通区域上两种新的适定提法，然后证明这种变态边值问题解的存在唯一性，此处的证明依赖于解析函数零点的一些性质，并没有使用奇异积分方程的方法．本文中的适定提法比过去的一些适定提法来得简便，这给相应边值问题数值解法的研究带来很大的方便．
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| 关 键 词： | 解析函数，变态边值问题，适定性 |
Well Posedness of Riemann-Hilbert Boundary Value Problem in Multiply Connected Regions for Analytic Functions |
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| Wen Guochun. Well Posedness of Riemann-Hilbert Boundary Value Problem in Multiply Connected Regions for Analytic Functions[J]. Journal of Yantai University(Natural Science and Engineering edirion), 1996, 0(1) |
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| Authors: | Wen Guochun |
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| Abstract: | At first.Two new well posedness, which are proved here to be the uniqueness and existence of this abnormal boundary value problem of Riemann-Hilbert problem for analytic functions in multiply connected regions are stated.The method used in proving this existence is some properties of zero points of analytic functions,not the singular nitegral equation. Compered with the well peedness stated in the past,the one stated in this article is simpler and it makes the research on numerical solutions of connected boundary value problems easier. |
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| Keywords: | analytic functions abnormal boundary value problem well-posedness |
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