Stefan's Problem,

In the present work Stefans problem in its general sense multidimensional case, arbitrary number of initially unknown phase boundary surfaces, a thermal coefficient dependence of the phase on temperature is analyzed. A determination of the general solution of the problem is introduced and it is shown, that the classical solution of the problem is general theorem 1. Using the method of iniite differences the existence of solutions of the edge problem and the Cauchy problem are shown for an arbitrary segment of time. The uniqueness of the general solution is shown, from which in particular follows the uniqueness of the classical solution. Author