| 齐次热传导方程初边值问题的解是解析函数的证明 |
| |
| 引用本文： | 邢家省,崔玉英. 齐次热传导方程初边值问题的解是解析函数的证明[J]. 河南科学, 2009, 27(11): 1341-1345 |
| |
| 作者姓名： | 邢家省 崔玉英 |
| |
| 作者单位： | 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;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 |
| |
| 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 |
| |
| 摘 要： | 通过对线性齐次热传导方程初边值问题的级数解的高阶偏导数进行估计,利用多元函数的泰勒公式,给出了线性齐次热传导方程初边值问题的解是解析函数的证明.
|
| 关 键 词： | 热传导方程 初边值问题 级数解 解析函数 |
A Proof of the Solution to the Initial Boundary Value Problem for the Homogeneous Heat Conduction Equation is the Analytic Function |
| |
| Xing Jiasheng,Cui Yuying. A Proof of the Solution to the Initial Boundary Value Problem for the Homogeneous Heat Conduction Equation is the Analytic Function[J]. Henan Science, 2009, 27(11): 1341-1345 |
| |
| Authors: | Xing Jiasheng Cui Yuying |
| |
| Affiliation: | (Department of Mathematics, LMIB of the Ministry of Education, Beihang University, Beijing 100191, China) |
| |
| Abstract: | By estimated the high-order partial derivative of the series solution to the initial boundary value problem for the homogeneous heat conduction equation,with the Taylor formula for multi-function,we proved that the solution to the initial boundary value problem for the homogeneous heat conduction equation is the analytic function. |
| |
| Keywords: | heat conduction equation the initial boundary value problem the series solution analytic function |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
