Schauder's estimates for nonlocal equations with singular Lévy measures

Zimo Hao, Zhen Wang, Mingyan Wu

In this paper, we establish Schauder's estimates for the following non-local equations in \mR^d : $${\partial }_{t}u={\mathcal{L}}_{\kappa ,\sigma }^{(\alpha )}u+b\cdot \nabla u+f,u(0)=0,$$ where $α\in(…