| 调和方程超定Dirichlet边值问题的变分解 |
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| 引用本文： | 于锦海,安连波.调和方程超定Dirichlet边值问题的变分解[J].广州大学学报(自然科学版),2006,5(4):1-4. |
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| 作者姓名： | 于锦海 安连波 |
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| 作者单位： | 中国科学院,研究生院,北京,100049;信息工程大学,河南,郑州,450001 |
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| 摘 要： | 对调和方程超定D irichlet边值问题进行了研究,提出解决问题的新方法.通过对超定边值问题相应泛函的临界点研究,引入了问题的变分解;其次对变分解的性质进行了研究.该方法具有严格的数学基础,能将不同类型的观测数据纳入统一的模型中进行研究.
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| 关 键 词： | 调和方程 超定Dirichlet边值问题 临界点 变分解 |
| 文章编号： | 1671-4229(2006)04-0001-04 |
| 收稿时间： | 2005-11-28 |
| 修稿时间： | 2006-03-27 |
Variation solution of harmonic equation problem with over-determined Dirichlet boundary value |
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| YU Jin-hai,AN Lian-bo.Variation solution of harmonic equation problem with over-determined Dirichlet boundary value[J].Journal og Guangzhou University:Natural Science Edition,2006,5(4):1-4. |
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| Authors: | YU Jin-hai AN Lian-bo |
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| Institution: | 1. Graduate University of Chinese Academy of Sciences, Beijing 100049, China; 2. Information Engineering University, Zhengzhou 450001, China |
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| Abstract: | A typical class of harmonic equation with overdetermined Dirichlet boundary value is researched in this paper;a new method is proposed;and the variational solution of overdetermined boundary value problem is introduced.The properties of variation solution are studied. |
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| Keywords: | harmonic equation overdetermined Dirichlet boundary value problem critical point variation solution |
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