Bernd Thaller

Institut f. Mathematik
Universität Graz
A-8010 Graz, Austria
e-mail: bernd.thaller@kfunigraz.ac.at

Optimal heat kernel estimates for Schrödinger operators with magnetic fields in two dimensions

Authors:

Michael Loss and Bernd Thaller

Abstract:

Sharp smoothing estimates are proven for magnetic Schrödinger semigroups in two dimensions under the assumption that the magnetic field is bounded below by some positive constant B₀. As a consequence the essential supremum of the associated integral kernel is bounded by the essential supremum of the Mehler kernel of the Schrödinger semigroup with the constant magnetic field B₀.

(To appear in: Commun. Math. Phys.)

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