Regularity Results for Nonlocal Equations by Approximation

被引:171
作者
Caffarelli, Luis [1 ]
Silvestre, Luis [2 ]
机构
[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA
关键词
INTEGRODIFFERENTIAL EQUATIONS;
D O I
10.1007/s00205-010-0336-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We obtain C (1,alpha) regularity estimates for nonlocal elliptic equations that are not necessarily translation-invariant using compactness and perturbative methods and our previous regularity results for the translation-invariant case.
引用
收藏
页码:59 / 88
页数:30
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