摘要
考虑热传导方程的热核性质,给出了周期热核的泊松和表示及与黎曼函数的关系,证明了周期热核的复解析性质,指出了热核与拉普拉斯方程基本解的关系.
This paper considering the properties of the heat kernel. The Poisson＇s summation representation of period heat kernel were provided. And the relation between period heat kernel and Riemann function is investigated. Furthermore,it proves the complex analytical property of the period kernel. Finally,it gets the relation between the heat kernel and the elementary solution of the Laplace＇ s function.
出处
《河南科学》
2010年第7期757-761,共5页
Henan Science
基金
国家自然科学基金资助项目(10771011)
河南省自然科学基金资助项目(102300410118)
关键词
热传导方程
周期热核
泊松和表示
黎曼函数
heat conduction equation
period heat kernel
Poisson＇s summation representation
Riemannfunction
