Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends
Analysis of PDEs
2024-11-27 v2 Spectral Theory
Abstract
We prove a polynomial upper bound on the number of resonances in a disc whose radius tends to infinity for even asymptotically hyperbolic manifolds with real-analytic ends. Our analysis also gives a similar upper bound on the number of quasinormal frequencies for Schwarzschild-de Sitter spacetimes.
Keywords
Cite
@article{arxiv.2209.06064,
title = {Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends},
author = {Malo Jézéquel},
journal= {arXiv preprint arXiv:2209.06064},
year = {2024}
}
Comments
v2: Revision according to referees comments