On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem

被引：0

作者：

Semerdjieva, Rossitza ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

来源：

OPEN MATHEMATICS | 2015年 / 13卷

关键词：

Free boundary problem; Parabolic equation; Mixed type boundary conditions; Nonlocal condition; Smoothness of the free boundary; INFINITE DIFFERENTIABILITY; MATHEMATICAL-MODEL; STEFAN PROBLEM; GROWTH; TUMORS;

D O I：

10.1515/math-2015-0026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on C-m-smoothness of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.

引用

页码：265 / 272

页数：8

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