The existence and uniqueness of global solution to a new type of stefan problem

This article discusses the existence and uniqueness of global solution to a new type of one-phase Stefan problem.In order to attain the global solution,we first translate the Stefan problem into an equivalent integral equations,then we define a Banach space L_sand a mapping F no it.By proving F being a contraction mapping on a closed subset of L_(s,M),we get the existence and uniqueness of local solution to the integral equation.