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arxiv: 1302.6902 · v3 · pith:JQB3IPCUnew · submitted 2013-02-27 · 🌀 gr-qc · math-ph· math.AP· math.MP

Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime

Yakov Shlapentokh-Rothman This is my paper
classification 🌀 gr-qc math-phmath.APmath.MP
keywords equationwaveenergykerrmodequantitativestabilityable
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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.

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