Strong uniqueness of finite dimensional Dirichlet operators with singular drifts

Haesung Lee

We show the $L^r({\mathbb{R}}^d,\mu )$-uniqueness for any $r\in (1,2]$ and the essential self-adjointness of a Dirichlet operator $Lf = Δf +\langle \frac{1}ρ\nabla ρ, \nabla f \rangl…