| 连续初值条件下热传导方程古典解的存在性证明 |
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| 引用本文： | 邢家省,王洪志,张愿章.连续初值条件下热传导方程古典解的存在性证明[J].河南科学,2010,28(3):253-257. |
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| 作者姓名： | 邢家省 王洪志 张愿章 |
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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. 华北水利水电学院,郑州,450011 |
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| 基金项目： | 国家自然科学基金资助项目，北京市教育委员会共建项目专项资助 |
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| 摘 要： | 考虑齐次热传导方程的初边值问题,利用周期热核的性质,给出了在连续初值条件下热传导方程的古典解的存在性证明.
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| 关 键 词： | 热传导方程 连续初值条件 周期热核 古典解 |
An Existence Proof of the Classical Solution to the Heat Conduction Equation with the Continuous Initial Value Condition |
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| Xing Jiasheng,Wang Hongzhi,Zhang Yuanzhang.An Existence Proof of the Classical Solution to the Heat Conduction Equation with the Continuous Initial Value Condition[J].Henan Science,2010,28(3):253-257. |
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| Authors: | Xing Jiasheng Wang Hongzhi Zhang Yuanzhang |
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| Institution: | 1. Department of Mathematics, LMIB of the Ministry of Education, Beihang University, Beijing 100191, China; 2. North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China) |
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| Abstract: | This paper considered the initial boundary value problem for homogeneous heat conduction equation. By studying the property of the period heat kernel, it proved that the classical solution of heat conduction equation with continuous initial value is existence. |
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| Keywords: | heat conduction equation continuous initial value condition period heat kernel classical solution |
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