Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach

DOI10.1080/03605302.2020.1857400zbMath1478.35161arXiv1905.12587OpenAlexW3113342824MaRDI QIDQ5164920

András Vasy

Publication date: 15 November 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12587

zbMATH Keywords

scattering theoryFredholm theoryLagrangian distributionsasymptotically conic spacespseudodifferential operator algebras

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items

Analyticity of quasinormal modes in the Kerr and Kerr-De Sitter spacetimes, Asymptotics of the radiation field for the massless Dirac-Coulomb system, Recent progress in general relativity, Analysis, geometry and topology of singular PDE. Abstracts from the workshop held June 6--12, 2021 (hybrid meeting), A sharp version of Price's law for wave decay on asymptotically flat spacetimes, Pointwise dispersive estimates for Schrödinger operators on product cones

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
• Upper bound on the density of Ruelle resonances for Anosov flows
• Fractal upper bounds on the density of semiclassical resonances
• Semiclassical second microlocal propagation of regularity and integrable systems
• Operatori pseudo-differenziali in R\(^n\) e applicazioni
• A generalization of the radiation condition of Sommerfeld for \(N\)-body Schrödinger operators
• Spectral and scattering theory for symbolic potentials of order zero.
• Semiclassical estimates in asymptotically Euclidean scattering
• The global non-linear stability of the Kerr-de Sitter family of black holes
• Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces
• Microlocal analysis of forced waves
• Microlocal propagation near radial points and scattering for symbolic potentials of order zero
• Linear stability of slowly rotating Kerr black holes
• Propagation of Singularities Around a Lagrangian Submanifold of Radial Points
• Diffraction of singularities for the wave equation on manifolds with corners
• Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach
• A Minicourse on Microlocal Analysis for Wave Propagation