Non-local gradient dependent operators

被引：94
作者：
Bjorland, C. [1 ]
Caffarelli, L. [1 ]
Figalli, A. [1 ]
机构：
[1] UT Austin Math, Austin, TX 78712 USA
来源：
ADVANCES IN MATHEMATICS | 2012年 / 230卷 / 4-6期
基金：
美国国家科学基金会;
关键词：
Quasilinear non-local operators; Tug-of-war; Existence; Regularity; TUG-OF-WAR; VISCOSITY SOLUTIONS; WEAK SOLUTIONS; REGULARITY;
D O I：
10.1016/j.aim.2012.03.032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study a general class of "quasilinear non-local equations" depending on the gradient which arises from tug-of-war games. We establish a C-alpha/C-1,C-alpha/C-2,C-alpha. regularity theory for these equations (the kind of regularity depending on the assumptions on the kernel), and we construct different non-local approximations of the p-Laplacian. (C) 2012 Elsevier Inc. All rights reserved.
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页码：1859 / 1894
页数：36
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