In this paper we study the existence of the regular solution for model of the solidification of a pure substance which is in liquid state in a one-dimensional bounded domain. We prove the existence of the Schauder solution by the Schauder fixed point theorem. And we prove some proposition of the free boundary.
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李喜罕. 角形区域上二相自由边界问题正则解的存在性[J]. 科学技术与工程, 2010, (36): . LiXiHan. The existence of regular solutions of two phase free boundary problem in an angular domain[J]. Science Technology and Engineering,2010,(36).