| Title | Global solution to the 3D Dirac–Klein–Gordon system with uniform energy bounds |
| Author | |
| Corresponding Author | Dong，Shijie |
| Publication Years | 2023-06-01
|
| DOI | |
| Source Title | |
| ISSN | 0944-2669
|
| EISSN | 1432-0835
|
| Volume | 62Issue:5 |
| Abstract | On the (1+3) dimensional Minkowski spacetime, for small, regular initial data, it is well-known that the Dirac–Klein–Gordon system admits a global solution. In the present paper, we aim to establish the uniform boundedness of the total energy of the solution for this system. The proof relies on Klainerman’s vector field and Alinhac’s ghost weight methods. The main difficulty originates from the slow decay nature of the Dirac and wave components in three space dimensions. To overcome the difficulty, a sharp understanding of the structure for this system, and a new weighted conformal energy estimate are implemented. In addition, we also provide a few scattering results for the system. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| Funding Project | Fundamental Research Funds for the Central Universities, Nankai University[63221037]
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics, Applied
; Mathematics
|
| WOS Accession No | WOS:000984904900001
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Scopus EID | 2-s2.0-85159012786
|
| Data Source | Scopus
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/536492 |
| Department | Department of Mathematics 深圳国际数学中心（杰曼诺夫数学中心）（筹） |
| Affiliation | 1.Department of Mathematics,SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China 2.School of Mathematical Sciences and LPMC,Nankai University,Tianjin,300071,China 3.Department of Mathematics,The Chinese University of Hong Kong,Shatin,NT,Hong Kong |
| First Author Affilication | Department of Mathematics; SUSTech International Center for Mathematics |
| Corresponding Author Affilication | Department of Mathematics; SUSTech International Center for Mathematics |
| First Author's First Affilication | Department of Mathematics; SUSTech International Center for Mathematics |
| Recommended Citation GB/T 7714 |
Dong，Shijie,Li，Kuijie,Yuan，Xu. Global solution to the 3D Dirac–Klein–Gordon system with uniform energy bounds[J]. Calculus of Variations and Partial Differential Equations,2023,62(5).
|
| APA |
Dong，Shijie,Li，Kuijie,&Yuan，Xu.(2023).Global solution to the 3D Dirac–Klein–Gordon system with uniform energy bounds.Calculus of Variations and Partial Differential Equations,62(5).
|
| MLA |
Dong，Shijie,et al."Global solution to the 3D Dirac–Klein–Gordon system with uniform energy bounds".Calculus of Variations and Partial Differential Equations 62.5(2023).
|
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