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: $${\partial }_{t}u={\Delta }^{\alpha /2}u+b\cdot \nabla u+f,$$ where ${\Delta }^{\alpha /2}$ denote…