Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications
Analysis of PDEs
2023-03-24 v4 Mathematical Physics
math.MP
Abstract
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 with loss of angular derivatives for the massless Dirac-Coulomb equation in .
Keywords
Cite
@article{arxiv.2101.07185,
title = {Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications},
author = {Federico Cacciafesta and Éric Séré and Junyong Zhang},
journal= {arXiv preprint arXiv:2101.07185},
year = {2023}
}
Comments
34 pages. Final version to appear in Communications in Partial Differential Equations