两类方程的基本解及其应用（英文）  

The Relationship and Applications of Elementary Solutions for Two Classes of Euqations

作　　者：杨凯琦[1] 陈田田[1] 李傅山[1] 

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2016年第1期10-16,共7页Journal of Qufu Normal University(Natural Science)

基　　金：National Natural Science Foundation(11201258);Natural Science Foundation of Shandong Province(ZR2011AQ006);Program National College Students Innovation and Entrepreneurship Training(201410446006)

摘　　要：给出了Laplace方程和热方程基本的关系和应用.在更广的函数类中,应用基本解给出了Poisson方程和热方程解的表达公式,推广了文献中的结果.In this paper, the relationship and applications of fundamental solutions for Laplace equation and heat equation are studied. In the more extensive function spaces,the formulas of solutions to Poisson equa- tion and heat equation by fundamental solutions are given,which generalize the results in literatures.

关 键 词：LAPLACE方程 热方程 Green公式 

分 类 号：O175.27[理学—数学] O175.29[理学—基础数学]