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Local smoothing estimates for the massless Dirac-Coulomb equation in 2 and 3 dimensions

Cacciafesta, Federico; Séré, Eric (2016), Local smoothing estimates for the massless Dirac-Coulomb equation in 2 and 3 dimensions, Journal of Functional Analysis, 271, 8, p. 2339-2358. 10.1016/j.jfa.2016.04.003

Type
Article accepté pour publication ou publié
External document link
https://arxiv.org/abs/1503.00945v2
Date
2016
Journal name
Journal of Functional Analysis
Volume
271
Number
8
Publisher
Elsevier
Published in
Paris
Pages
2339-2358
Publication identifier
Metadata
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Author(s)
Cacciafesta, Federico

Séré, Eric
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
We prove local smoothing estimates for the massless Dirac equation with a Coulomb potential in 2 and 3 dimensions. Our strategy is inspired by [9] and relies on partial wave subspaces decomposition and spectral analysis of the Dirac–Coulomb operator.
Subjects / Keywords
dispersive estimates; Dirac-Coulomb equation; smoothing estimates; relativistic quantum mechanics