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两类方程基本解的导出与验证(英文)
引用本文:李傅山,郭莉.两类方程基本解的导出与验证(英文)[J].曲阜师范大学学报,2010,36(2):1-6.
作者姓名:李傅山  郭莉
作者单位:曲阜师范大学数学科学学院,273165,山东省曲阜市 
基金项目:Project supported by the Natural Science Foundation of Shandong Province of China,the China Postdoctoral Science Foundation,the Postdoctoral Science Foundation of Shandong Province,STPF of university in Shandong Province,STPF of university in Shandong Province of China 
摘    要:应用广义导数和Green公式,导出Laplace方程和热传导方程的基本解,并进行验证.最后举例说明了基本解的本质及应用.

关 键 词:基本解  Laplace  方程  热传导方程  Green公式

Derivation and Validation of Fundamental Solutions for Two Types of Equations
LIFu-shan,GUOLi.Derivation and Validation of Fundamental Solutions for Two Types of Equations[J].Journal of Qufu Normal University(Natural Science),2010,36(2):1-6.
Authors:LIFu-shan  GUOLi
Institution:LI+Fu-shan,GUO+Li+(School+of+Mathematical+Sciences,Qufu+Normal+University,273165,Qufu,Sh,ong,PRC)
Abstract:Applying generalized derivative and Green formula,we perfect the derivation and validation of fundamental solutions for Laplace equation and heat equation.Some examples are provided to illustrate the essentiality and applications of fundamental solutions.
Keywords:fundamental solution  laplace eqation  heat equation  green formula
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