研究热传导方程初值问题解的性质,利用求解公式给出了热传导方程的解是解析函数的直接证明,对初值连续可积条件下,给出齐次热传导方程初值问题解的存在性证明.
This paper studies the properties of the solution of the initial value problem for heat conduction equation.By formula,it directly proves that the solution of heat conduction equation is analytic function.Moreover,under the condition of continuous integrability to the initial value,the proof of the existence of the solution of the initial value problem for the homogeneous heat conduction equation is obtained.