The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime

doi:10.1088/1361-6382/ab8f65

	The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime
	Zhang,Lin 1,2; Wu,Xiaoning 1,2
刊名	Classical and Quantum Gravity
	2020-07-28
卷号	37 期号:16
关键词	initial-boundary value problem asymptotic AdS space-time linear wave equation
ISSN号	0264-9381
DOI	10.1088/1361-6382/ab8f65
英文摘要	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.
语种	英语
出版者	IOP Publishing
WOS记录号	IOP:0264-9381-37-16-AB8F65
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51608]
专题	中国科学院数学与系统科学研究院
作者单位	1.Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, People's Republic of China 2.Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, 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).