TY - JOUR
T1 - Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications
AU - Cacciafesta, Federico
AU - Séré, Éric
AU - Zhang, Junyong
N1 - Publisher Copyright:
© 2023 Taylor & Francis Group, LLC.
PY - 2023
Y1 - 2023
N2 - 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 (Formula presented.) -averaged over angular direction for the massless Dirac-Coulomb equation in 3D.
AB - 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 (Formula presented.) -averaged over angular direction for the massless Dirac-Coulomb equation in 3D.
KW - Dirac-Coulomb equation
KW - Strichartz estimates
KW - steepest descent method
UR - http://www.scopus.com/inward/record.url?scp=85150903232&partnerID=8YFLogxK
U2 - 10.1080/03605302.2023.2169938
DO - 10.1080/03605302.2023.2169938
M3 - Article
AN - SCOPUS:85150903232
SN - 0360-5302
VL - 48
SP - 355
EP - 385
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
IS - 3
ER -