With the solution formula of the initial value problem for the heat conduction equation, this paper proves that the solution of the initial value problem for the homogeneous heat conduction equation is an analytical function. With the formula and a estimation of the partial derivation of each order, this paper gives the method to prove that the solution to the initial boundary value problem of homogeneous heat conduction equation is an analytical function.

%U https://zkxb.jsu.edu.cn/EN/10.13438/j.cnki.jdzk.2020.03.001