Lars Andersson, Pieter Blue, Jean-Philippe Nicolas
Published 2011-07-22Version 1
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.
Improved decay rates with small regularity loss for the wave equation about a Schwarzschild black hole
Non-harmonic analysis of the wave equation for Schrödinger operators with complex potential
Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric
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