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arXiv · 1107.4597

A decay estimate for a wave equation with trapping and a complex potential

Lars Andersson·Pieter Blue·Jean-Philippe Nicolas
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Abstract

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 linearised Einstein systems on the exterior of a rotating black hole.

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Lars Andersson, Pieter Blue, Jean-Philippe Nicolas. 2011-07-22. A decay estimate for a wave equation with trapping and a complex potential. https://arxiv.org/abs/1107.4597

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