Spectral gaps for normally hyperbolic trapping
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Publication:332160
DOI10.5802/aif.3005zbMath1350.35023arXiv1403.6401OpenAlexW3121150122MaRDI QIDQ332160
Publication date: 27 October 2016
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.6401
Black holes (83C57) General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) PDEs in connection with relativity and gravitational theory (35Q75) Dynamical systems with hyperbolic orbits and sets (37D05) Resonance in context of PDEs (35B34)
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Cites Work
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- Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
- Resolvent estimates for normally hyperbolic trapped sets
- Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes
- Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents)
- Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
- Exponential bounds of the resolvent for a class of noncompactly supported perturbations of the Laplacian
- Propagation through trapped sets and semiclassical resolvent estimates
- Semiclassical resolvent estimates at trapped sets
- Asymptotics of linear waves and resonances with applications to black holes
- Non-trapping estimates near normally hyperbolic trapping
- Decay of correlations for normally hyperbolic trapping
- Power spectrum of the geodesic flow on hyperbolic manifolds
- The semiclassical zeta function for geodesic flows on negatively curved manifolds
- Exponential energy decay for Kerr-de Sitter black holes beyond event horizons
- The semiclassical resolvent and the propagator for non-trapping scattering metrics
- Quantitative limiting absorption principle in the semiclassical limit
- Dynamical zeta functions for Anosov flows via microlocal analysis
- Lower bounds for shape resonances widths of long range Schrodinger operators
- Stochastic stability of Pollicott–Ruelle resonances
- Dispersive Estimates for Manifolds with One Trapped Orbit
- Geometric control in the presence of a black box
- Global Analysis of Quasilinear Wave Equations on Asymptotically Kerr-de Sitter Spaces
- Gluing Semiclassical Resolvent Estimates via Propagation of Singularities
- Limiting Absorption Principle for the Dissipative Helmholtz Equation
- Resonance projectors and asymptotics for 𝑟-normally hyperbolic trapped sets
- Invariant manifolds
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