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arXiv · 0911.1287

Virial identity and weak dispersion for the magnetic Dirac equation

Nabile Boussaid·Piero D'Ancona·Luca Fanelli
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Abstract

We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates which are optimal from the decay point of view. We also prove a Hardy-type inequality for the perturbed Dirac operator.

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Nabile Boussaid, Piero D'Ancona, Luca Fanelli. 2009-11-06. Virial identity and weak dispersion for the magnetic Dirac equation. https://arxiv.org/abs/0911.1287

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