| 热传导方程初值问题解的性质的证明 |
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| 引用本文： | 邢家省,张军民. 热传导方程初值问题解的性质的证明[J]. 河南科学, 2011, 29(11): 1261-1266 |
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| 作者姓名： | 邢家省 张军民 |
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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. 河南省工业情报标准信息中心,郑州,450011 |
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| 基金项目： | 国家自然科学基金资助项目(10871016); 北京市教育委员会共建项目专项资助 |
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| 摘 要： | 主要研究热传导方程初值问题解的性质,给出齐次热传导方程初值问题的解是解析函数的一种比较简单的证明,给出了非齐次热传导方程初值问题的形式解是古典解和广义解的直接证明.
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| 关 键 词： | 热传导方程 初值问题 解析函数 光滑性 |
A Proof of the Property of the Solution to the Initial Value Problem for Heat Conduction Equation |
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| Xing Jiasheng,Zhang Junmin. A Proof of the Property of the Solution to the Initial Value Problem for Heat Conduction Equation[J]. Henan Science, 2011, 29(11): 1261-1266 |
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| Authors: | Xing Jiasheng Zhang Junmin |
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| Affiliation: | Xing Jiasheng1,Zhang Junmin2(1.Department of Mathematics,LMIB of the Ministry of Education,Beihang University,Beijing 100191,China,2.Henan Industry Intelligence Standards Information Centre,Zhengzhou 450011,China) |
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| Abstract: | This paper studies the property of the initial value problem for heat conduction equation.It gives a simple proof that the solution of the initial value problem for homogeneous heat conduction equation is an analytic function.And it directly proves that the formal solution of the initial value problem for non-homogeneous heat conduction equation is classical solution and generalized solution. |
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| Keywords: | heat conduction equation initial value problem analytic function smoothing property |
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