| 热传导方程热核的一些性质 |
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| 引用本文： | 邢家省,王桂玲.热传导方程热核的一些性质[J].河南科学,2010,28(7):757-761. |
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| 作者姓名： | 邢家省 王桂玲 |
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| 作者单位： | 1. 北京航空航天大学,数学与系统科学学院,数学、信息与行为教育部重点实验室,北京,100191
2. 郑州市技师学院,郑州,450006 |
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| 基金项目： | 国家自然科学基金资助项目，河南省自然科学基金资助项目 |
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| 摘 要： | 考虑热传导方程的热核性质,给出了周期热核的泊松和表示及与黎曼函数的关系,证明了周期热核的复解析性质,指出了热核与拉普拉斯方程基本解的关系.
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| 关 键 词： | 热传导方程 周期热核 泊松和表示 黎曼函数 |
Properties of the Heat Kernel of Heat Conduct Equation |
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| Xing Jiasheng,Guo Xiulan.Properties of the Heat Kernel of Heat Conduct Equation[J].Henan Science,2010,28(7):757-761. |
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| Authors: | Xing Jiasheng Guo Xiulan |
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| Institution: | Xing Jiasheng1,Guo Xiulan2(1.Department of Mathematics,LMIB of the Ministry of Education,Beihang University,Beijing 100191,China,2.Zhengzhou College of Technician,Zhengzhou 450006,China) |
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| Abstract: | This paper considering the properties of the heat kernel.The Poisson's summation representation of period heat kernel were provided.And the relation between period heat kernel and Riemann function is investigated.Furthermore,it proves the complex analytical property of the period kernel.Finally,it gets the relation between the heat kernel and the elementary solution of the Laplace's function. |
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| Keywords: | heat conduction equation period heat kernel Poisson's summation representation Riemann function |
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