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Annales Henri Poincaré

, Volume 16, Issue 1, pp 289–345 | Cite as

Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime

  • Yakov Shlapentokh-RothmanEmail author
Article

Abstract

We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| <  M). As an application, we are able to quantitatively control the energy flux along the horizon and null infinity and establish integrated local energy decay for solutions to the wave equation in any bounded-frequency regime.

Keywords

Black Hole Wave Equation Half Plane Quasinormal Mode Mode Stability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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