The semiclassical resolvent and the propagator for non-trapping scattering metrics

DOI10.1016/j.aim.2007.08.006zbMath1131.58018arXivmath/0606606OpenAlexW2067922999MaRDI QIDQ2463525

Jared Wunsch, Andrew Hassell

Publication date: 12 December 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606606

zbMATH Keywords

resolventpropagatorscattering matrixsemiclassicalLegendrianscattering manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Equidistribution of phase shifts in trapped scattering ⋮ Spectral gaps for normally hyperbolic trapping ⋮ Characterization of the SG-wave front set in terms of the FBI-transform ⋮ Global-in-time Strichartz estimates for Schrödinger on scattering manifolds ⋮ Approximation and equidistribution of phase shifts: spherical symmetry ⋮ Semi-classical-Fourier-integral-operator-valued pseudodifferential operators and scattering in a strong magnetic field ⋮ Eigenvalue bounds for non-self-adjoint Schrödinger operators with nontrapping metrics ⋮ Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds ⋮ Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces ⋮ Uniform Sobolev estimates for non-trapping metrics ⋮ Equidistribution of phase shifts in semiclassical potential scattering ⋮ On open scattering channels for manifolds with ends ⋮ Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds I: Resolvent construction at high energy ⋮ The semiclassical resolvent on conformally compact manifolds with variable curvature at infinity ⋮ Strichartz estimate and nonlinear Klein-Gordon equation on nontrapping scattering space ⋮ Resolvent at low energy III: The spectral measure ⋮ The semiclassical resolvent on conic manifolds and application to Schrödinger equations

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