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第一边值问题，通过对方程作适当系数因子和积分变换技巧将其化为积分方程．再利用极值原理和Ｓｈａｕｄｅｒ不动点理论证明了方程解的存在性和唯一性结果．

A variable coefficient two-phase Stefan problem of parabolic equations is discussed, then it is transformed into an integral equation by using suitable coefficient factors and the existence and uniques theorem of the solution are studied by applying Shauder fixed point theorem