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对双自由边界Stefan问题的进一步讨论
引用本文:曹铁川. 对双自由边界Stefan问题的进一步讨论[J]. 内蒙古工业大学学报, 1987, 0(2)
作者姓名:曹铁川
作者单位:内蒙古工学院基础部
摘    要:本文讨论了双自由边界 Stefan 问题的解对于初始条件的单调相依性,以及该解和一个Volterra 型的非线性积分方程组的等价关系。本文所得结果,是对 R.Canno,D.Hill 及 A.Friedman 相应结果的推广。

关 键 词:抛物型偏微分方程  自由边界问题  Stenfan 问题

Further Study on the Stefan Problem with Two Free Boundaries
Cao Tiechuan. Further Study on the Stefan Problem with Two Free Boundaries[J]. Journal of Inner Mongolia Polytechnic University(Social Sciences Edition), 1987, 0(2)
Authors:Cao Tiechuan
Affiliation:Cao Tiechuan
Abstract:Through further study on the Stefan problem with two free boundaries, some results are obtained.The solution is monotone dependence for the ini- tial conditions and equivalent to the solution of a nonlinear integral equations of Volterra type. This paper is an extension of the corresponding results of R.Cannon.D. Hill and A.Friedman.
Keywords:partial differential equation of parabolic type  free boundary problem  Stefan problem
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