Harnack inequalities for nonlocal operators with supercritical drifts and their applications

Zhen-Qing Chen, Xicheng Zhang

In this paper, we investigate Harnack estimates for weak solutions to the following nonlocal equation: $${\partial }_{t}u=\hat{I}{”}^{\hat{I}\pm /2}u+b\cdot \nabla u+f,$$ where $\hat{I}{”}^{\hat{I}\pm /2}$ de…