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

preprint2011arXivOpen access

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

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Virial identity and dispersive estimates for the nnn-dimensional Dirac equation

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