Virial identity and weak dispersion for the magnetic Dirac equation

Details Virial identity and weak dispersion for the magnetic Dirac equation Virial identity and weak dispersion for the magnetic Dirac equation

2009-11-06

arxiv.org/abs/0911.1287v2

Mathematics

Analysis of PDEs

13 pages, typos in the statement of theorem 1.3 and clarification of the proof in subsection 3.2

Scientific paper

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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