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 int...

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Bibliographic Details
Main Author: Shlapentokh-Rothman, Yakov Mordechai
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Basel 2019
Online Access:http://hdl.handle.net/1721.1/121094