热方程及其类似形式的傅里叶变换解  

Thermal Equations and Their Similar Forms of Fourier Transform Solutions

作　　者：陆富强 赵林 

机构地区：[1]贵州师范大学数学科学学院,贵州 贵阳

出　　处：《理论数学》2024年第1期218-223,共6页Pure Mathematics

摘　　要：本文考虑热方程及其类似形式的傅里叶变换解,从经典的一维及高维热方程的傅里叶变换求解推广到具有热方程类似形式的一维及高维偏微分方程的傅里叶变换解。In this paper, we consider the solutions of the thermal equation and its similar form of Fourier transform, and generalize from the Fourier transform solution of the classical one-dimensional and high-dimensional thermal equations to the Fourier transform solution of one-dimensional and high-dimensional partial differential equations with a similar form of the thermal equation.

关 键 词：热方程 傅里叶变换 基本解 

分 类 号：O17[理学—数学]