| Title | STABILITY OF SOME TWO DIMENSIONAL WAVE MAPS: A WAVE-KLEIN-GORDON MODEL |
| Author | |
| Corresponding Author | Dong, Shijie |
| Publication Years | 2024-02-01
|
| DOI | |
| Source Title | |
| ISSN | 0893-4983
|
| Volume | 37Issue:1-2 |
| Abstract | We are interested in the stability of a class of totally geodesic wave maps, as recently studied in [1, 7, 8]. The relevant equations of motion are a system of coupled semilinear wave and Klein-Gordon equations in R1+n whose nonlinearities have critical time decay when n = 2. In this paper, we use a pure energy method to show global existence when n = 2. By carefully examining the structure of the nonlinear terms, we are able to obtain uniform energy bounds at lower orders. This allows us to prove pointwise decay estimates and also to reduce the required regularity. |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics, Applied
; Mathematics
|
| WOS Accession No | WOS:001078192700001
|
| Publisher | |
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/575867 |
| Affiliation | 1.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China 2.Dept Math, Shenzhen 518055, Peoples R China 3.Kings Coll London, Dept Math, Strand Bldg, London WC2R 2LS, England |
| 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,Wyatt, Zoe. STABILITY OF SOME TWO DIMENSIONAL WAVE MAPS: A WAVE-KLEIN-GORDON MODEL[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS,2024,37(1-2).
|
| APA |
Dong, Shijie,&Wyatt, Zoe.(2024).STABILITY OF SOME TWO DIMENSIONAL WAVE MAPS: A WAVE-KLEIN-GORDON MODEL.DIFFERENTIAL AND INTEGRAL EQUATIONS,37(1-2).
|
| MLA |
Dong, Shijie,et al."STABILITY OF SOME TWO DIMENSIONAL WAVE MAPS: A WAVE-KLEIN-GORDON MODEL".DIFFERENTIAL AND INTEGRAL EQUATIONS 37.1-2(2024).
|
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