A decay estimate for a wave equation with trapping and a complex potential
Analysis of PDEs
2011-07-25 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1107.4597,
title = {A decay estimate for a wave equation with trapping and a complex potential},
author = {Lars Andersson and Pieter Blue and Jean-Philippe Nicolas},
journal= {arXiv preprint arXiv:1107.4597},
year = {2011}
}
Comments
11 pages