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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


Michael Loss and Bernd Thaller


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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Bernd Thaller
Institute of Mathematics
University of Graz.

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