Derivative formula and exponential convergence for semilinear SPDEs driven by Lévy processes

By using Galerkin’s approximation, we establish a Bismut–Elworthy–Li type derivative formula for semilinear SPDEs driven by Lévy processes with σσ-finite Lévy measure. Meanwhile, we also investigate the continuity under total variation norm and exponential convergence of the transition function Pt(x,⋅)Pt(x,⋅).