Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in $C^{1,\beta }$ open sets

Renming Song, Peixue Wu, Shukun Wu

Let $D$ be an open set of ${\mathbb{R}}^d$, $\alpha \in (0,2)$ and let ${\mathcal{L}}_{\alpha }^D$ be the generator of the censored $\alpha$-stable process in $D$. In this paper, we establish sharp two-…