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.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics
- Mathematical Physics