Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023)

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Low Regularity for Nonlinear Dirac Equation in the Half Line

Authors
Fengxia Liu1, 2, *, Kun Tian2, Yi Zhang2, *, Zixian Gong2, Shanxiang Lyv3
1Great Bay University, Dongguan, P. R. China
2Engineering Research Center of Ministry of Education for Financial Computing and Digital Engineering, Renmin University of China, Beijing, 100872, P. R. China
3College of Cyber Security, Jinan University, Guangzhou, 510632, P. R. China
*Corresponding author.
*Corresponding author. Email: ethanzhang@ruc.edu.cn
Corresponding Authors
Fengxia Liu, Yi Zhang
Available Online 2 August 2024.
DOI
10.2991/978-94-6463-463-1_7How to use a DOI?
Keywords
Initial-Boundary Value Problem; Dirac Equation; Contraction Map; Local Existence; Global Existence; Restricted Norm Method
Abstract

We study the Initial-Boundary Value problem (IBVP) for a nonlinear Dirac equation with vector self-interaction (Thirring model), and obtain local existence, uniqueness, and continuous dependence on initial data in low-regularity spaces. Moreover, we get the global existence for initial data in R × R + .

Copyright
© 2024 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023)
Series
Advances in Physics Research
Publication Date
2 August 2024
ISBN
978-94-6463-463-1
ISSN
2352-541X
DOI
10.2991/978-94-6463-463-1_7How to use a DOI?
Copyright
© 2024 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Fengxia Liu
AU  - Kun Tian
AU  - Yi Zhang
AU  - Zixian Gong
AU  - Shanxiang Lyv
PY  - 2024
DA  - 2024/08/02
TI  - Low Regularity for Nonlinear Dirac Equation in the Half Line
BT  - Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023)
PB  - Atlantis Press
SP  - 88
EP  - 103
SN  - 2352-541X
UR  - https://doi.org/10.2991/978-94-6463-463-1_7
DO  - 10.2991/978-94-6463-463-1_7
ID  - Liu2024
ER  -