Isaac Newton Institute for Mathematical Sciences

Heat kernels for Schrodinger operators

Author: Alexander Grigor'yan (University of Bielefeld)

Abstract

We present two-sided estimates for the heat kernels of certain elliptic Schrodinger operators. The class of potentials include those with the quadratic decay at infinity. The proof is based on a joint work with L.Saloff-Coste providing conditions for the stability of the parabolic Harnack inequality under a non-uniform change of measure on weighted Riemannian manifolds.