Journal
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume 48, Issue 3, Pages 355-385Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03605302.2023.2169938
Keywords
Dirac-Coulomb equation; Strichartz estimates; steepest discent method
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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.
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.
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