| 某类平面椭圆型一价偏微分方程组的Riemann-Hilbert边值问题——谨以本文纪念建校三十周年 |
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| 引用本文： | 程晋,曾岳生.某类平面椭圆型一价偏微分方程组的Riemann-Hilbert边值问题——谨以本文纪念建校三十周年[J].怀化学院学报,1988(6). |
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| 作者姓名： | 程晋 曾岳生 |
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| 作者单位： | 复旦大学数学系
(程晋)，怀化师专数学科(曾岳生) |
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| 摘 要： | 本文研究下列平面椭圆型方程的Riemann=Hilbert边值问题 这里,且复部丫0(z)≠0;G为单位圆盘,r:|z|=1,我们利用一类积分表达式,给出了问题的解的构造,将问题化为一个第二类Fredholm型分方程来求解。
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| 关 键 词： | 椭圆型方程组 超解析函数 生成解 紧算子 Fredholm选择定理 |
On Riemann-Hilbert Boundary Value Probiem for a Kind of Eirst Order Elliptic Partial Differetial Equations iu the Plane |
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| Chen Jin Zeng Yuesheng.On Riemann-Hilbert Boundary Value Probiem for a Kind of Eirst Order Elliptic Partial Differetial Equations iu the Plane[J].Journal of Huaihua University,1988(6). |
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| Authors: | Chen Jin Zeng Yuesheng |
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| Abstract: | In this paper, the Riemann - Hilbert boundary value problems for elliptic equations in the plane
are consiered, where ∈ is a paramer; Akj , Bkj∈Lp
(Ω), p<2; h(z)∈Lp(Ω); A(z)∈Hα(Γ and λ0(z)≠0;Ω is unit disk; Γ: |z|=1 By using integral representation formula, the solution of this problem is constructed We tranformed the problem into the Fredholm integral of second kind. |
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| Keywords: | Elliptic equations Hyperanalytic functions Generate solution Compact operator Fredholm alternative theorem |
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