Asymptotics for null-timelike boundary problems for general linear wave equations | |
Han, Qing2; Zhang, Lin1 | |
刊名 | SCIENCE CHINA-MATHEMATICS |
2019-11-15 | |
页码 | 18 |
关键词 | wave equations radiation field energy estimates asymptotic expansion |
ISSN号 | 1674-7283 |
DOI | 10.1007/s11425-018-9492-6 |
英文摘要 | We study the linear wave equation rectangle(g)u= 0 in Bondi-Sachs coordinates, for an asymptotically flat Lorentz metricg. We consider the null-timelike boundary problem, where an initial value is given on the null surface tau= 0 and a boundary value on the timelike surfacer=r(0). We obtain spacetimeH(p)-estimates ofruforr>r(0)and derive an asymptotic expansion ofruin terms of 1/rasr -> infinity. |
资助项目 | National Science Foundation of USA[DMS1404596] ; National Natural Science Foundation of China[11571019] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | SCIENCE PRESS |
WOS记录号 | WOS:000574500300001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52278] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhang, Lin |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA |
推荐引用方式 GB/T 7714 | Han, Qing,Zhang, Lin. Asymptotics for null-timelike boundary problems for general linear wave equations[J]. SCIENCE CHINA-MATHEMATICS,2019:18. |
APA | Han, Qing,&Zhang, Lin.(2019).Asymptotics for null-timelike boundary problems for general linear wave equations.SCIENCE CHINA-MATHEMATICS,18. |
MLA | Han, Qing,et al."Asymptotics for null-timelike boundary problems for general linear wave equations".SCIENCE CHINA-MATHEMATICS (2019):18. |
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