Virial identity and dispersive estimates for the $n$-dimensional Dirac equation

Published 1 Mar 2011 in math.AP | (1103.0189v2)

Abstract: We extend to general dimension $n\ge1$ the virial identity proved by Boussaid-D'Ancona-Fanelli for the 3D magnetic Dirac equation. As an application we deduce smoothing and Strichartz estimates for an $n$-dimensional Dirac equation perturbed with a magnetic potential.

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Federico Cacciafesta

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