| Title | GLOBAL BEHAVIOR OF SMALL DATA SOLUTIONS FOR THE 2D DIRAC-KLEIN-GORDON SYSTEM |
| Author | |
| Corresponding Author | Dong, Shijie |
| Publication Years | 2023-10-01
|
| DOI | |
| Source Title | |
| ISSN | 0002-9947
|
| EISSN | 1088-6850
|
| Abstract | In this paper, we are interested in the two-dimensional Dirac- Klein-Gordon system, which is a basic model in particle physics. We investigate the global behavior of small data solutions to this system in the case of a massive scalar field and a massless Dirac field. More precisely, our main result is twofold: (1) we show sharp time decay for the pointwise estimates of the solutions, which implies the asymptotic stability of this system; (2) we show the linear scattering result of this system which is a fundamental problem when it is viewed as dispersive equations. Our result is valid for general small, high-regular initial data, and in particular, there is no restriction on the support of the initial data. |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| Funding Project | NSFC[12301120]
; Fundamental Research Funds for the Central Universities, Nankai University[63231227]
; Natural Science Foundation of Tianjin[22JCQNJC00710]
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics
|
| WOS Accession No | WOS:001088767200001
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Data Source | Web of Science
|
| Citation statistics | |
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/582848 |
| Affiliation | 1.Southern Univ Sci & Technol, SUS Tech Int Ctr Math, Shenzhen 518055, Peoples R China 2.Dept Math, Shenzhen 518055, Peoples R China 3.Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China 4.LPMC, Tianjin 300071, Peoples R China 5.Xi An Jiao Tong Univ, Sch Math & Stat, 28 West Xianning Rd, Xian 710049, Shaanxi, Peoples R China 6.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
| First Author Affilication | Southern University of Science and Technology |
| Corresponding Author Affilication | Southern University of Science and Technology |
| First Author's First Affilication | Southern University of Science and Technology |
| Recommended Citation GB/T 7714 |
Dong, Shijie,Li, Kuijie,Ma, Yue,et al. GLOBAL BEHAVIOR OF SMALL DATA SOLUTIONS FOR THE 2D DIRAC-KLEIN-GORDON SYSTEM[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2023.
|
| APA |
Dong, Shijie,Li, Kuijie,Ma, Yue,&Yuan, Xu.(2023).GLOBAL BEHAVIOR OF SMALL DATA SOLUTIONS FOR THE 2D DIRAC-KLEIN-GORDON SYSTEM.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY.
|
| MLA |
Dong, Shijie,et al."GLOBAL BEHAVIOR OF SMALL DATA SOLUTIONS FOR THE 2D DIRAC-KLEIN-GORDON SYSTEM".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2023).
|
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