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Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications

Cacciafesta, Federico; Séré, Eric; Zhang, Junyong (2023), Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications, Communications in Partial Differential Equations, 48, 3, p. 355-385. 10.1080/03605302.2023.2169938

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Type
Article accepté pour publication ou publié
Date
2023
Journal name
Communications in Partial Differential Equations
Volume
48
Number
3
Publisher
Taylor & Francis
Pages
355-385
Publication identifier
Metadata
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Author(s)
Cacciafesta, Federico
Dipartimento di Matematica Pura e Applicata [Padova]
Séré, Eric
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Zhang, Junyong
Department of Mathematics, Beijing Institute of Technology
Abstract (EN)
In this paper we prove some uniform asymptotic estimates for confluent hypergeometric functions making use of the steepest-descent method. As an application, we obtain Strichartz estimates that are L2-averaged over angular direction for the massless Dirac-Coulomb equation in 3D.
Subjects / Keywords
Dirac-Coulomb equation; Strichartz estimates; steepest descent method