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

被引：9

作者：

Han, Qing ^{[1
]}

Zhang, Lin ^{[2
]}

机构：

[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

来源：

SCIENCE CHINA-MATHEMATICS | 2021年 / 64卷 / 01期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

wave equations; radiation field; energy estimates; asymptotic expansion; BONDI-SACHS METRICS; RADIATION-FIELDS; PULSE SOLUTIONS; GRAVITATIONAL WAVES; RELATIVITY; SCATTERING;

D O I：

10.1007/s11425-018-9492-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：111 / 128

页数：18

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