中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime

文献类型：期刊论文

作者Zhang,Lin1,2; Wu,Xiaoning1,2
刊名Classical and Quantum Gravity
出版日期2020-07-28
卷号37期号:16
ISSN号0264-9381
关键词initial-boundary value problem asymptotic AdS space-time linear wave equation
DOI10.1088/1361-6382/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
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.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).

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。