Abstract
We show that the resolvent grows at most exponentially with frequency for the wave equation on a class of stationary spacetimes which are bounded by nondegenerate Killing horizons, without any assumptions on the trapped set. Correspondingly, there exists an exponentially small resonance-free region, and solutions of the Cauchy problem exhibit logarithmic energy decay.
Citation
Oran Gannot. "Resolvent estimates for spacetimes bounded by Killing horizons." Anal. PDE 12 (2) 537 - 560, 2019. https://doi.org/10.2140/apde.2019.12.537
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