| 半平面中的Dirichlet边值逆问题 |
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| 引用本文： | 王明华. 半平面中的Dirichlet边值逆问题[J]. 四川师范大学学报(自然科学版), 2006, 29(6): 683-687 |
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| 作者姓名： | 王明华 |
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| 作者单位： | 重庆文理学院,数学与计算机科学系,重庆,永川,402168 |
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| 摘 要： | 给出半平面中解析函数的一类Dirichlet边值逆问题的数学提法．依据半平面中解析函数的Dirichlet边值问题和广义Dirichlet边值问题，讨论了此边值逆问题的可解性．利用半平面中解析函数Dirichlet边值问题的Schwarz公式，给出了该边值逆问题的可解条件和解的表示式．
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| 关 键 词： | Dirichlet边值逆问题 Dirichlet边值问题 Schwarz公式 |
| 文章编号： | 1001-8395（2006）06-0683-05 |
| 收稿时间： | 2005-02-22 |
| 修稿时间： | 2005-02-22 |
Inverse Dirichlet Boundary Value Problems in Half Plane |
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| WANG Ming-hua. Inverse Dirichlet Boundary Value Problems in Half Plane[J]. Journal of Sichuan Normal University(Natural Science), 2006, 29(6): 683-687 |
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| Authors: | WANG Ming-hua |
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| Affiliation: | Department of Mathematics and Computer Science, Chongqing University of Arts and Sciences, Yongchuan 402168, Chongqing |
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| Abstract: | In this paper, the mathematical formulation of a class of inverse Dirictdet boundary value problems in half plane for analytic functions is given. On the basis of the classical and generalized Dirichlet boundary value problems in half plane for analytic functions, the solvability of the inverse boundary problems is discussed. Using the Schwarz formula of Difichlet boundary value problems in half plane for analytic functions, the solvable conditions and the representation of the solutions of the inverse boundary problems are obtained. |
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| Keywords: | Inverse Dirichlet boundary value problem Dirichlet boundary value problem Schwarz formula |
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