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

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 $3D$.

34 pages. Final version to appear in Communications in Partial Differential Equations