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

doi:10.1007/s11425-018-9492-6

CSpace

	Asymptotics for null-timelike boundary problems for general linear wave equations
	Han, Qing 1; Zhang, Lin 2
	2019-11-15
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
页码	18
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.
关键词	wave equations radiation field energy estimates asymptotic expansion
DOI	10.1007/s11425-018-9492-6
收录类别	SCI
语种	英语
资助项目	National Science Foundation of USA[DMS1404596] ; National Natural Science Foundation of China[11571019]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000574500300001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52279
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.Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
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.