Semiclassical propagation through cone points

Pseudodifferential operators as generalizations of partial differential operators (35S05) Scattering theory for PDEs (35P25) Propagation of singularities; initial value problems on manifolds (58J47) Singular hyperbolic equations (35L81)

Cites Work

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Resolvent estimates and local decay of waves on conic manifolds
Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
A quantitative Vainberg method for black box scattering
Propagation of singularities for the wave equation on edge manifolds
Semiclassical second microlocal propagation of regularity and integrable systems
Absence of singular continuous spectrum for certain self-adjoint operators
Characterization of pseudodifferential operator and application
Microlocal parametrices for diffractive boundary value problems
Mathematische Theorie der Diffraction.
Semiclassical estimates in asymptotically Euclidean scattering
Asymptotics of scalar waves on long-range asymptotically Minkowski spaces
On the resolvent of differential operators on conic manifolds
Propagation of singularities for the wave equation on conic manifolds
Scattering metrics and geodesic flow at infinity
On resonances generated by conic diffraction
Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces
Propagation of polyhomogeneity, diffraction, and scattering on product cones
The semiclassical resolvent on conic manifolds and application to Schrödinger equations
Pointwise dispersive estimates for Schrödinger operators on product cones
The radiation field on product cones
Locating resonances on hyperbolic cones
Propagation of singularities for the wave equation on manifolds with corners
Recurrence and differential relations for spherical spinors
Oszillationsmethoden für Systeme gewöhnlicher Differentialgleichungen
Fourier integral operators. I
Propagation of singularities in many-body scattering
Propagation of Singularities Around a Lagrangian Submanifold of Radial Points
Diffraction of singularities for the wave equation on manifolds with corners
Resolvent at low energy III: The spectral measure
On the diffraction of waves by conical singularities. II
Inégalités de résolvante pour l’opérateur de Schrödinger avec potentiel multipolaire critique
Asymptotics of radiation fields in asymptotically Minkowski space
Elliptic theory of differential edge operators I
Grazing rays and reflection of singularities of solutions to wave equations
Differential operators of Fuchs type, conical singularities, and asymptotic methods
Propagation des ondes dans les variétés à coins
One hundred years of diffraction theory
Gluing Semiclassical Resolvent Estimates via Propagation of Singularities
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
A Minicourse on Microlocal Analysis for Wave Propagation
Mathematical Theory of Scattering Resonances
Diffraction from conormal singularities
Invariant manifolds
Resolvents and complex powers of semiclassical cone operators
Semiclassical diffraction by conormal potential singularities

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