GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS FOR A NONLOCAL ONE DIMENSIONAL PARABOLIC FREE BOUNDARY PROBLEM

被引：0

作者：

Semerdjieva, Rossitza ^{[1
]}

机构：

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

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2014年 / 40卷 / 01期

关键词：

Free boundary problem; parabolic equation; mixed type boundary conditions; system of nonlinear integral equations; MATHEMATICAL-MODEL; TUMOR-GROWTH;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study one dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. We establish global existence uniqueness of classical solutions assuming that the initial-boundary data are sufficiently smooth and satisfy some compatibility conditions. Our approach is based on analysis of an equivalent system of nonlinear integral equations.

引用

页码：229 / 253

页数：25

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