Heat Kernel Estimates for Schrödinger Operators with Decay at Infinity on Parabolic Manifolds

Anthony Graves-McCleary, Laurent Saloff-Coste

We give estimates for positive solutions for the Schrödinger equation $({\Delta }_{\mu }+W)u=0$ on a wide class of parabolic weighted manifolds $(M,d\mu )$ when $W$ decays to zero at infinity fas…