C2,α regularity of flat free boundaries for the thin one-phase problem

被引：18
作者：
De Silva, D. [1 ]
Savin, O. [1 ]
机构：
[1] Columbia Univ, Barnard Coll, Dept Math, New York, NY 10027 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 253卷 / 08期
关键词：
One-phase free boundary problem; Harnack inequality;
D O I：
10.1016/j.jde.2012.06.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove C-2,C-alpha regularity of sufficiently flat free boundaries, for the thin one-phase problem in which the free boundary occurs on a lower dimensional subspace. This problem appears also as a model of a one-phase free boundary problem in the context of the fractional Laplacian (-Delta)(1/2). (c) 2012 Elsevier Inc. All rights reserved.
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页码：2420 / 2459
页数：40
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