Propagation through trapped sets and semiclassical resolvent estimates
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Publication:1948158
DOI10.5802/aif.2751zbMath1271.58014arXiv1010.2190OpenAlexW3183614488MaRDI QIDQ1948158
Publication date: 2 May 2013
Published in: Annales de l'Institut Fourier, Microlocal Methods in Mathematical Physics and Global Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.2190
Estimates of eigenvalues in context of PDEs (35P15) Wave equation (35L05) Propagation of singularities; initial value problems on manifolds (58J47)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
- Minoration de la résolvante dans le cas captif
- Quantum decay rates in chaotic scattering
- Resolvent estimates for normally hyperbolic trapped sets
- Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics
- Local smoothing for scattering manifolds with hyperbolic trapped sets
- Semiclassical non-concentration near hyperbolic orbits
- Semiclassical resonances generated by a closed trajectory of hyperbolic type
- The N-particle scattering problem: asymptotic completeness for short- range systems
- Semiclassical resolvent estimates for \(N\)-body Schrödinger operators
- Semiclassical estimates in asymptotically Euclidean scattering
- Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds. II
- Resolvent estimates and local energy decay for hyperbolic equations
- Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
- Semi-classical resolvent estimates for the Schrödinger operator on non-compact complete Riemannian manifolds
- Estimates for singular Radon transforms and pseudodifferential operators with singular symbols
- Lower bounds for shape resonances widths of long range Schrodinger operators
- Semiclassical resolvent estimates for two and three–body schrödinger operators
- Dispersive Estimates for Manifolds with One Trapped Orbit
- Singularities of the Scattering Kernel Related to Trapping Rays
- Geometric control in the presence of a black box
- Gluing Semiclassical Resolvent Estimates via Propagation of Singularities
- Local Smoothing with a Prescribed Loss for the Schrödinger Equation
- Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates
- Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces
- Trapped rays in spherically symmetric media and poles of the scattering matrix
