Kerr几何中出射标量波的能量估计
A Time Independent Energy Estimate for Outgoing Scalar Waves in the Kerr Geometry
摘要：
考虑Kerr几何中标量波动方程的Cauchy问题，初值光滑且紧支撑在事件视界外。获得了出射波的与时间无关的能量估计。作为一个应用，我们估计输出能量的波包初始数据，一致的支持初始数据被转移到无穷大。主要的数学工具是我们以前导出的波传播算子的积分表示。
英文摘要：
The Cauchy problem for the scalar wave equation in the Kerr geometry is considered, with initial data which is smooth and compactly supported outside the event horizon. A time-independent energy estimate for the outgoing wave is obtained. As an application we estimate the outgoing energy for wave-packet initial data, uniformly as the support of the initial data is shifted to infinity. The main mathematical tool is our previously derived integral representation of the wave propagator.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
