A Minicourse on Microlocal Analysis for Wave Propagation
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Publication:5226752
DOI10.1017/9781108186612.005zbMath1416.83026OpenAlexW2781264625MaRDI QIDQ5226752
Publication date: 1 August 2019
Full work available at URL: https://doi.org/10.1017/9781108186612.005
Wave equation (35L05) Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Gravitational waves (83C35)
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Normally hyperbolic trapping on asymptotically stationary spacetimes ⋮ The microlocal irregularity of Gaussian noise ⋮ Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions ⋮ Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces ⋮ Analyticity of quasinormal modes in the Kerr and Kerr-De Sitter spacetimes ⋮ Analysis of linear waves near the Cauchy horizon of cosmological black holes ⋮ Analysis, geometry and topology of singular PDE. Abstracts from the workshop held June 6--12, 2021 (hybrid meeting) ⋮ Existence and Asymptotics of Nonlinear Helmholtz Eigenfunctions ⋮ Quantum fields from global propagators on asymptotically Minkowski and extended de Sitter spacetimes ⋮ On the positivity of propagator differences ⋮ Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach ⋮ Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach ⋮ Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces ⋮ Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge
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