### 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 B_{0}. 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 B_{0}.

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

### Download article:

postscript file, including all fonts (1073K)

postscript file, without fonts (232K)

dvi file (56K)

text file with tex source (37K)

pdf file for use with Adobe Acrobat (192K)

Bernd Thaller

Institute of Mathematics

University of Graz.

Page design of course by: Bernd Thaller.

last changed: 03-21-1997