KMS Of Academy of mathematics and systems sciences, CAS
The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime | |
Zhang,Lin1,2; Wu,Xiaoning1,2 | |
2020-07-28 | |
发表期刊 | Classical and Quantum Gravity |
ISSN | 0264-9381 |
卷号 | 37期号:16 |
摘要 | AbstractIn this paper, we study the initial-boundary problem of the massive wave equation which is conformal regular on an asymptotically anti-de Sitter spacetime, where the initial-boundary data are given on an outgoing null hypersurface and a timelike hypersurface, and the asymptotic information is given on the future null infinity. After a conformal rescaling, this problem will reduce to a null-timelike boundary problem of linear wave equation on the conformal compactificated spacetime, where the initial data is given on a null hypersurface and the boundary data are given on two timelike hypersurfaces. We demonstrate well posedness for the associated null-timelike boundary problems. The proofs rely on energy estimates (weighted energy estimates for null-timelike boundary problems) and local existence of solution for initial-boundary problems. This is a toy model motivated by AdS/CFT correspondence. |
关键词 | initial-boundary value problem asymptotic AdS space-time linear wave equation |
DOI | 10.1088/1361-6382/ab8f65 |
语种 | 英语 |
WOS记录号 | IOP:0264-9381-37-16-ab8f65 |
出版者 | IOP Publishing |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/51609 |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 2.Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, People's Republic of China |
推荐引用方式 GB/T 7714 | Zhang,Lin,Wu,Xiaoning. The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime[J]. Classical and Quantum Gravity,2020,37(16). |
APA | Zhang,Lin,&Wu,Xiaoning.(2020).The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime.Classical and Quantum Gravity,37(16). |
MLA | Zhang,Lin,et al."The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime".Classical and Quantum Gravity 37.16(2020). |
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