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6th International Conference on Differential Equations and Dynamical Systems
May 22-26, 2008

Baltimore, Maryland, USA

Organizers
Xinzhi Liu, University of Waterloo; Gaston M. N'Guerekata, Morgan State University

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The Schrödinger Equation with a Non-Smooth Magnetic Potential
by
Michael Goldberg
Johns Hopkins University

We prove Strichartz estimates for the absolutely continuous evolution of a Schrödinger operator H = (i∇+ A)2 + V in Rn, n ≥ 3. Both the magnetic and electric potentials are time-independent and have polynomial pointwise decay. The vector potential A(x) is assumed to be continuous but need not possess any Sobolev regularity. This condition improves upon previous results (requiring half a derivative) obtained in collaboration with Erdogan and Schlag.

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Date received: March 18, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caws-68.