A Decay Estimate for a Wave Equation with Trapping and a Complex Potential
A Decay Estimate for a Wave Equation with Trapping and a Complex Potential
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具有陷阱和复势的波动方程的衰减估计
DOI：
10.1093/imrn/rnr237
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发表时间：
2013
影响因子：
1
通讯作者：
Andersson L
中科院分区：
文献类型：
--
作者：
Andersson L
在这篇简短的笔记中，我们考虑一个既有俘获势又有复势的波动方程。对于这个问题，我们证明了能量的一致界和Morawetz（或积分局部能量衰减）估计。该方程是旋转黑洞外部麦克斯韦和线性化爱因斯坦系统中出现的某些标量方程的模型问题。
In this brief note, we consider a wave equation that has both trapping and a complex potential. For this problem, we prove a uniform bound on the energy and a Morawetz (or integrated local energy decay) estimate. The equation is a model problem for certain scalar equations appearing in the Maxwell and linearized Einstein systems on the exterior of a rotating black hole.