A Decay Estimate for a Wave Equation with Trapping and a Complex Potential

Lars Andersson, Pieter Blue, Jean-Philippe Nicolas

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.
Original languageEnglish
Pages (from-to)548-561
Number of pages14
JournalInternational Mathematics Research Notices
Volume2013
Issue number3
Early online date1 Feb 2012
DOIs
Publication statusPublished - 2013

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