Probabilistic characterizations of essential self-adjointness and removability of singularities

Michael Hinz, Seunghyun Kang, Jun Masamune

We consider the Laplacian and its fractional powers of order less than one on the complement ${\mathbb{R}}^d\setminus \Sigma$ of a given compact set $\Sigma \subset {\mathbb{R}}^d$ of zero Lebesgu…