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.
Original language | English (US) |
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Pages (from-to) | 289-345 |
Number of pages | 57 |
Journal | Annales Henri Poincare |
Volume | 16 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2014 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Nuclear and High Energy Physics
- Mathematical Physics