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arxiv: 1405.3620 · v1 · pith:ILKGI544new · submitted 2014-05-14 · 🌀 gr-qc · math-ph· math.AP· math.MP

Quantitative mode stability for the wave equation on the Kerr-Newman spacetime

Damon Civin This is my paper
classification 🌀 gr-qc math-phmath.APmath.MP
keywords modestabilitydecayequationkerr-newmanquantitativestatementswave
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Quantitative versions of mode stability type statements for the wave equation on Kerr-Newman black holes are proven for the full sub-extremal range. The mode stability result on the real axis is then applied to prove integrated local energy decay for solutions restricted to a bounded frequency regime. This is an important element of the proof of unrestricted boundedness and decay statements, presented in a forthcoming companion paper.

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