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Abstract: We analyze the dispersive properties of a Dirac system perturbed with amagnetic field. We prove a general virial identity; as applications, we obtainsmoothing and endpoint Strichartz estimates which are optimal from the decaypoint of view. We also prove a Hardy-type inequality for the perturbed Diracoperator.



Author: Nabile Boussaid LM-Besançon, Piero D'Ancona, Luca Fanelli

Source: https://arxiv.org/



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