Regularity for anisotropic fully nonlinear integro-differential equations

被引：11
|
作者：
Caffarelli, Luis A. [1 ]
Leitao, Raimundo [2 ]
Urbano, Jose Miguel [2 ]
机构：
[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
[2] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal
来源：
MATHEMATISCHE ANNALEN | 2014年 / 360卷 / 3-4期
关键词：
HARNACK INEQUALITIES; VARIABLE ORDER; JUMP-PROCESSES; OPERATORS;
D O I：
10.1007/s00208-014-1050-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP estimate, a Harnack inequality and the interior regularity, extending the results of Caffarelli and Silvestre (Comm Pure Appl Math 62:597-638, 2009) to the anisotropic case.
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页码：681 / 714
页数：34
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