| 关于热传导方程解的构造 |
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| 引用本文： | 张九思. 关于热传导方程解的构造[J]. 山东大学学报(工学版), 1986, 0(3) |
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| 作者姓名： | 张九思 |
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| 作者单位： | 山东工业大学基础课教学部 |
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| 摘 要： | 利用广义函数的概念构造出热传导方程柯西问题的解。着重研究三维情况,一维及二维情况作为特例,而n维情况可作为三维的推广。这里,推导过程不是形式的,得到的结果也不是形式解。
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| 关 键 词： | 广义函数 柯西问题 基本解 热传导方程 |
Solution Construction of Heat Equation |
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| Zhang Jiusi. Solution Construction of Heat Equation[J]. Journal of Shandong University of Technology, 1986, 0(3) |
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| Authors: | Zhang Jiusi |
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| Affiliation: | Dept. of Basic Science |
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| Abstract: | A solution of Cauchy's problem of heat conduction equation is constructed with the concept of generalized function. Analysis of three dimension is studied mainly. One and two dimensions case is as an special example, and n-dimensions case is as a generalization of three dimensions. Here neither the derivation process is formal, nor the result obtained is a formal solution. |
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| Keywords: | Generalized function Cauchy problem Fundamental solutions Heat equation |
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