Asymptotics for null-timelike boundary problems for general linear wave equations

doi:10.1007/s11425-018-9492-6

	Asymptotics for null-timelike boundary problems for general linear wave equations
	Han, Qing 2; Zhang, Lin 1
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.