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arXiv · 1103.0189

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

Federico Cacciafesta
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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. 2011-03-01. Virial identity and dispersive estimates for the $n$-dimensional Dirac equation. https://arxiv.org/abs/1103.0189

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