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Heat kernels for Schr\"{o}dinger operators

Grigor'yan, A (Universitaet Bielefeld)
Monday 24 July 2006, 16:30-17:20

Seminar Room 1, Newton Institute


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.


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