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两类方程的基本解及其应用

杨凯琦 陈田田 李傅山

曲阜师范大学学报(自然科学版)Issue(1):10-16,7.
曲阜师范大学学报(自然科学版)Issue(1):10-16,7.DOI:10.3969/j.issn.1001-5337.2016.1.010

两类方程的基本解及其应用

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

杨凯琦 1陈田田 1李傅山1

作者信息

  • 1. 曲阜师范大学数学科学学院,273165,山东省曲阜市
  • 折叠

摘要

Abstract

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

Key words

Laplace equation/heat equation/Green formula

分类

数理科学

引用本文复制引用

杨凯琦,陈田田,李傅山..两类方程的基本解及其应用[J].曲阜师范大学学报(自然科学版),2016,(1):10-16,7.

基金项目

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

曲阜师范大学学报(自然科学版)

1001-5337

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