热传导方程初值问题解的性质的证明

A Proof of the Property of the Solution to the Initial Value Problem for Heat Conduction Equation

主要研究热传导方程初值问题解的性质,给出齐次热传导方程初值问题的解是解析函数的一种比较简单的证明,给出了非齐次热传导方程初值问题的形式解是古典解和广义解的直接证明.

This paper studies the property of the initial value problem for heat conduction equation.It gives a simple proof that the solution of the initial value problem for homogeneous heat conduction equation is an analytic function.And it directly proves that the formal solution of the initial value problem for non-homogeneous heat conduction equation is classical solution and generalized solution.