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arxiv: 0911.1287 · v2 · submitted 2009-11-06 · 🧮 math.AP

Virial identity and weak dispersion for the magnetic Dirac equation

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keywords diracidentitymagneticperturbedprovevirialanalyzeapplications
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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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