摘要
本文用非解析开拓法严格地导出了任意区域内双调和函数的一个边界积分表示式,在这个表示式中有两个边界函数和四个常数,它们与双调和函数之间存在一一对应的关系。因此依据这个表示式建立的间接变量边界积分方程与原微分方程边值问题等价。
A boundary integral representation for biharmonic functions in a givendomain is established rigorously by the method of non-analytic continuation.In the representation,there are two boundary functions and four constantswhich bear one to one correspondence to the biharmonic functions.Based on thisrepresentation,a set of boundary integral equations with indirect unknows isestablished.This set is equivatent to the original boundary value problem of thebiharmonic equations.
出处
《上海力学》
CSCD
1993年第1期1-11,共11页
Chinese Quarterly Mechanics
