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

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons20682

Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Volltexte (frei zugänglich)

1107.4597
(Preprint), 170KB

IMRN548.full.pdf
(beliebiger Volltext), 146KB

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Zitation

Andersson, L., Blue, P., & Nicolas, J.-P. (2013). A decay estimate for a wave equation with trapping and a complex potential. International Mathematics Research Notices, 2013(3), 548-561. doi:10.1093/imrn/rnr237.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000E-EA1E-F
Zusammenfassung
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.