Regularity estimates for parabolic integro-differential equations and applications

被引：0
|
作者：
Silvestre, Luis [1 ]
机构：
[1] Univ Chicago, Dept Math, 5734 S Univ Ave,Room 208C, Chicago, IL 60637 USA
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL III | 2014年
关键词：
Nonlocal equations; regularity; HARNACK INEQUALITIES; FRACTIONAL-DIFFUSION; NONLOCAL OPERATORS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We review some regularity results for integro-differential equations, focusing on Holder estimates for equations with rough kernels and their applications. We show that if we take advantage of the integral form of the equation, we can obtain simpler proofs than for second order equations. For the equations considered here, the Harnack inequality may not hold.
引用
收藏
页码：873 / 894
页数：22
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