连续初值条件下热传导方程解的存在性证明

An Existence Proof of the Solution to the Heat Conduction Equation with Continuous Initial Value

考虑齐次热传导方程的初边值问题,通过对形式级数解的性质的研究,得到了在连续初值条件下热传导方程的古典解的存在性证明.

This paper considered the initial boundary value problem for homogeneous heat conduction equation. By studying the property of the formal series solution, it proved that the classical solution of heat conduction Equation with continuous initial value is existence.