Quantitative mode stability for the wave equation on the Kerr-Newman spacetime
General Relativity and Quantum Cosmology
2014-05-15 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1405.3620,
title = {Quantitative mode stability for the wave equation on the Kerr-Newman spacetime},
author = {Damon Civin},
journal= {arXiv preprint arXiv:1405.3620},
year = {2014}
}
Comments
12 pages