一类变系数抛物型方程两相自由边界问题

A Two-Phase Free Boundary Problem of Variable Coefficient Parabolic Equations

研究了一类变系数抛物型方程两相 Ｓｔｅｆａｎ 问题，通过对方程作适当的积分变换将其化为积分方程．再利用 Ｓｃｈａｕｄｅｒ 不动点定理证明了方程解的存在性和唯一性定理．

A two-phase Stefan problem of variable coefficient parabolic equations is discussed, then it is transformed into an integral equation by using suitable integral transformation and the existence and unique theorem of the solution are proved by applying Schauder fixed point theorem.