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

Federico Cacciafesta; Éric Séré; Junyong Zhang

doi:10.1080/03605302.2023.2169938

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

Federico Cacciafesta^*
, Éric Séré
, Junyong Zhang

^*Corresponding author for this work

School of Mathematics and Statistics

University of Padua
Université Paris-Dauphine

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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 that are (Formula presented.) -averaged over angular direction for the massless Dirac-Coulomb equation in 3D.

Original language	English
Pages (from-to)	355-385
Number of pages	31
Journal	Communications in Partial Differential Equations
Volume	48
Issue number	3
DOIs	https://doi.org/10.1080/03605302.2023.2169938
Publication status	Published - 2023

Keywords

Dirac-Coulomb equation
Strichartz estimates
steepest descent method

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10.1080/03605302.2023.2169938

Cite this

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title = "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 that are (Formula presented.) -averaged over angular direction for the massless Dirac-Coulomb equation in 3D.",

keywords = "Dirac-Coulomb equation, Strichartz estimates, steepest descent method",

author = "Federico Cacciafesta and {\'E}ric S{\'e}r{\'e} and Junyong Zhang",

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T1 - Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications

AU - Cacciafesta, Federico

AU - Séré, Éric

AU - Zhang, Junyong

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 - https://www.scopus.com/pages/publications/85150903232

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 -

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

Abstract

Keywords

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