摘要
导出双调和算子△2-λ的基本解,并证明双调和算子的基本解可以由RN中含复系数的Helmholtz方程的解来表出.同时,还给出了双调和算子的基本解在无穷远点和零点处的渐进展开式.
We deduce the fundamental solutions for the biharmonic operators △2-λ. It will be shown that the fundamental solutions of biharmonic operators can be expressed in terms of the fundamental solutions of the Helmholtz equation in RN with complex coefficient. The asymptotic representation of the fundamental solutions for the biharmonic operators is given.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第3期273-276,289,共5页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金资助项目(10171036).
关键词
双调和算子
基本解
渐近展开式
biharmonic operators
fundamental solutions
asymptotic representation
