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. (C) 2010 Elsevier Masson SAS. All rights reserved.
Virial identity and weak dispersion for the magnetic Dirac equation / D'Ancona, Piero Antonio; Nabile, Boussaid; Fanelli, Luca. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 0021-7824. - STAMPA. - 95:2(2011), pp. 137-150. [10.1016/j.matpur.2010.10.004]
Virial identity and weak dispersion for the magnetic Dirac equation
D'ANCONA, Piero Antonio;FANELLI, Luca
2011
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. (C) 2010 Elsevier Masson SAS. All rights reserved.File allegati a questo prodotto
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