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Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime

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.

preprint2014arXivOpen access
Yakov Shlapentokh-Rothman
math.APmath-phmath.MPgr-qc
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Yakov Shlapentokh-Rothman

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