Asymptotic expansion in time of the Schrödinger group on conical manifolds

DOI10.5802/aif.2230zbMath1118.35022OpenAlexW2479442689MaRDI QIDQ877551

Xue Ping Wang

Publication date: 24 April 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2006__56_6_1903_0

zbMATH Keywords

resolvent expansionzero energy resonanceSchrödinger operator with metric

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10) Scattering theory of linear operators (47A40) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (21)

Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds ⋮ Restriction estimates in a conical singular space: wave equation ⋮ Local smoothing for scattering manifolds with hyperbolic trapped sets ⋮ Heat kernel estimate in a conical singular space ⋮ A new Levinson's theorem for potentials with critical decay ⋮ Two-body threshold spectral analysis, the critical case ⋮ Dispersive equations on asymptotically conical manifolds: time decay in the low-frequency regime ⋮ Coupling constant limits of Schrödinger operators with critical potentials ⋮ Number of eigenvalues for dissipative Schrödinger operators under perturbation ⋮ Asymptotic behaviors of the eigenvalues of Schrödinger operator with critical potential ⋮ Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I. ⋮ Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times ⋮ Time-decay of semigroups generated by dissipative Schrödinger operators ⋮ Large-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential ⋮ Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II. ⋮ Strichartz estimates and wave equation in a conic singular space ⋮ Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups ⋮ Geometric and obstacle scattering at low energy ⋮ The Hardy inequality and the heat equation with magnetic field in any dimension ⋮ Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two ⋮ Resolvent at low energy III: The spectral measure

Cites Work

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