Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime
arXiv:1302.6902 · doi:10.1007/s00023-014-0315-7
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.
Final version, to appear in Annales Henri Poincare