| Poisson方程三类问题的通解 |
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| 引用本文： | 郭时光.Poisson方程三类问题的通解[J].四川轻化工学院学报,2014(6):75-79. |
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| 作者姓名： | 郭时光 |
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| 作者单位： | [1]四川理工学院理学院,四川自贡643000; [2]人工智能四川省重点实验室,四川自贡643000 |
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| 基金项目： | 人工智能四川省重点实验室开放基金项目（2012RYY04） |
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| 摘 要： | 研究二维到四维空间上Poisson方程.采用求出其通解的方法,分别给出了该方程Cauchy问题、Direchlet问题和Neunmann问题的通解的解析表达式,从而得出其后面两类问题均存在无限多个解的结论.
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| 关 键 词： | Poisson方程 Direchlet问题 Neunmann问题 推迟势 正规解 降维法 |
General Solution of Three Problems for Poisson Equation |
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| GUO Shiguang.General Solution of Three Problems for Poisson Equation[J].Journal of Sichuan Institute of Light Industry and Chemical Technology,2014(6):75-79. |
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| Authors: | GUO Shiguang |
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| Affiliation: | GUO Shiguang ( 1. School of Science, Sichuan University of Science ＆ Engineering, Zigong 643000, China ; 2. Artificial Intelligence of Key Laboratory of Sichuan Province, Zigong 643000, China) |
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| Abstract: | Researching the Poisson equations on 2 d to 4 d spaces. Through the method of finding out their general solu-tions, the analytic expressions of the general solutions of Cauehy problem, Direchlet problem and Neunmann problem for theequation are given respectively. Thus the conclusion that there are an unlimited number of solutions for the two behind typesof problems is obtained. |
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| Keywords: | Poisson equation Direchlet problem Neunmann problem Retarded potential Formal solution Dimensionreduction method |
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