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

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.

preprint2014arXivOpen access
Damon Civin
math.APmath-phmath.MPgr-qc
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Open access1 author4 topics
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Damon Civin

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