On Dirac equations with Hartree type nonlinearity in modulation spaces

Seongyeon Kim; Hyeongjin Lee; Ihyeok Seo

doi:10.1007/s00013-024-02079-6

On Dirac equations with Hartree type nonlinearity in modulation spaces

Seongyeon Kim
, Hyeongjin Lee
, Ihyeok Seo

Department of Mathematics

Jeonju University
Sungkyunkwan University

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

Abstract

We obtain the local well-posedness for Dirac equations with a Hartree type nonlinearity derived by decoupling the Dirac–Klein–Gordon system. We extend the function space of initial data, enabling us to handle initial data that were not addressed in previous studies.

Original language	English
Pages (from-to)	195-204
Number of pages	10
Journal	Archiv der Mathematik
Volume	124
Issue number	2
DOIs	https://doi.org/10.1007/s00013-024-02079-6
State	Published - Feb 2025

Keywords

Dirac equation
Modulation spaces
Well-posedness

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10.1007/s00013-024-02079-6

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title = "On Dirac equations with Hartree type nonlinearity in modulation spaces",

abstract = "We obtain the local well-posedness for Dirac equations with a Hartree type nonlinearity derived by decoupling the Dirac–Klein–Gordon system. We extend the function space of initial data, enabling us to handle initial data that were not addressed in previous studies.",

keywords = "Dirac equation, Modulation spaces, Well-posedness",

author = "Seongyeon Kim and Hyeongjin Lee and Ihyeok Seo",

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year = "2025",

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doi = "10.1007/s00013-024-02079-6",

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AU - Lee, Hyeongjin

AU - Seo, Ihyeok

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N2 - We obtain the local well-posedness for Dirac equations with a Hartree type nonlinearity derived by decoupling the Dirac–Klein–Gordon system. We extend the function space of initial data, enabling us to handle initial data that were not addressed in previous studies.

AB - We obtain the local well-posedness for Dirac equations with a Hartree type nonlinearity derived by decoupling the Dirac–Klein–Gordon system. We extend the function space of initial data, enabling us to handle initial data that were not addressed in previous studies.

KW - Dirac equation

KW - Modulation spaces

KW - Well-posedness

UR - https://www.scopus.com/pages/publications/85210514707

U2 - 10.1007/s00013-024-02079-6

DO - 10.1007/s00013-024-02079-6

M3 - Article

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SP - 195

EP - 204

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 2

ER -

On Dirac equations with Hartree type nonlinearity in modulation spaces

Abstract

Keywords

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