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The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime
Zhang,Lin1,2; Wu,Xiaoning1,2
2020-07-28
Source PublicationClassical and Quantum Gravity
ISSN0264-9381
Volume37Issue:16
AbstractAbstractIn 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.
Keywordinitial-boundary value problem asymptotic AdS space-time linear wave equation
DOI10.1088/1361-6382/ab8f65
Language英语
WOS IDIOP:0264-9381-37-16-ab8f65
PublisherIOP Publishing
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51609
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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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