齐次热传导方程初边值问题的解是解析函数的证明

A Proof of the Solution to the Initial Boundary Value Problem for the Homogeneous Heat Conduction Equation is the Analytic Function

通过对线性齐次热传导方程初边值问题的级数解的高阶偏导数进行估计,利用多元函数的泰勒公式,给出了线性齐次热传导方程初边值问题的解是解析函数的证明.

By estimated the high-order partial derivative of the series solution to the initial boundary value problem for the homogeneous heat conduction equation,with the Taylor formula for multi-function,we proved that the solution to the initial boundary value problem for the homogeneous heat conduction equation is the analytic function.