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

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 L-2-averaged over angular direction for the massless Dirac-Coulomb equation in 3D.

Automated summary

In this paper, we prove uniform asymptotic estimates for confluent hypergeometric functions using the steepest-descent method. As an application, we obtain L-2-averaged Strichartz estimates over the angular direction for the massless Dirac-Coulomb equation in 3D.