We prove endpoint estimates with angular regularity for the wave and Dirac equations perturbed with a small potential. The estimates are applied to prove global existence for the cubic Dirac equation perturbed with a small potential, for small initial H-1 data with additional angular regularity. This implies in particular global existence in the critical energy space H-1 for small radial data. (c) 2012 Elsevier Inc. All rights reserved.

Endpoint estimates and global existence for the nonlinear Dirac equation with potential / D'Ancona, Piero Antonio; Cacciafesta, Federico. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 254:5(2013), pp. 2233-2260. [10.1016/j.jde.2012.12.002]

Endpoint estimates and global existence for the nonlinear Dirac equation with potential

D'ANCONA, Piero Antonio;CACCIAFESTA, FEDERICO
2013

Abstract

We prove endpoint estimates with angular regularity for the wave and Dirac equations perturbed with a small potential. The estimates are applied to prove global existence for the cubic Dirac equation perturbed with a small potential, for small initial H-1 data with additional angular regularity. This implies in particular global existence in the critical energy space H-1 for small radial data. (c) 2012 Elsevier Inc. All rights reserved.
2013
dirac equation; strichartz estimates; endpoint estimates; nonlinear waves
01 Pubblicazione su rivista::01a Articolo in rivista
Endpoint estimates and global existence for the nonlinear Dirac equation with potential / D'Ancona, Piero Antonio; Cacciafesta, Federico. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 254:5(2013), pp. 2233-2260. [10.1016/j.jde.2012.12.002]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/514898
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