论文标题
与非对称表格II相关的非本地运算符II：Harnack不平等现象
Nonlocal operators related to nonsymmetric forms II: Harnack inequalities
论文作者
论文摘要
研究了局部界限和HARNACK不平等现象，用于用于抛物线和椭圆形的差异方程的解决方案，其管理非本地运算符与非对称形式相关联。我们提供了两个独立的证据，一个是基于De Giorgi迭代的，另一个是基于Moser迭代技术的。本文延续了同一位作者的最新作品，在该作者中，Hölder的规律性和薄弱的Harnack不平等现象在类似的设置中得到了证明。
Local boundedness and Harnack inequalities are studied for solutions to parabolic and elliptic integro-differential equations whose governing nonlocal operators are associated with nonsymmetric forms. We present two independent proofs, one being based on the De Giorgi iteration and the other one on the Moser iteration technique. This article is a continuation of a recent work by the same authors, where Hölder regularity and a weak Harnack inequality are proved in a similar setup.
