A uniqueness theorem for a free boundary problem

被引：5

作者：

Dancer, E. N. ^{[1
]}

Du, Yihong

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

[2] Univ New England, Sch Math Stat & Comp Sci, Armidale, NSW 2351, Australia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 11期

关键词：

free boundary problem; variational inequality; elliptic equation;

D O I：

10.1090/S0002-9939-06-08409-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove a uniqueness theorem for a free boundary problem which is given in the form of a variational inequality. This free boundary problem arises as the limit of an equation that serves as a basic model in population biology. Apart from the interest in the problem itself, the techniques used in this paper, which are based on the regularity theory of variational inequalities and of harmonic functions, are of independent interest, and may have other applications.

引用

页码：3223 / 3230

页数：8

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