Regularity of the free boundary for two-phase problems governed by divergence form equations and applications

被引：10
|
作者：
De Silva, Daniela [1 ]
Ferrari, Fausto [2 ]
Salsa, Sandro [3 ]
机构：
[1] Columbia Univ, Dept Math, Barnard Coll, New York, NY 10027 USA
[2] Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, Italy
[3] Politecn Milan, Dipartimento Matemat, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 138卷
关键词：
Free boundary; Viscosity solutions; Regularity;
D O I：
10.1016/j.na.2015.11.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a class of two-phase inhomogeneous free boundary problems governed by elliptic equations in divergence form. In particular we prove that Lipschitz or flat free boundaries are C-1,C-gamma. Our results apply to the classical Prandtl-Bachelor model in fluiddynamics. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3 / 30
页数：28
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