The resolvent for Laplace-type operators on asymptotically conic spaces
From MaRDI portal
Publication:5944544
DOI10.5802/aif.1856zbMath0983.35098arXivmath/0002114OpenAlexW1576103251MaRDI QIDQ5944544
Publication date: 10 October 2001
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0002114
Scattering theory for PDEs (35P25) Pseudodifferential and Fourier integral operators on manifolds (58J40)
Related Items
The jump at zero of the spectral shift function, Morawetz estimates for the wave equation at low frequency, Recent progress in general relativity, Eigenvalue bounds for non-self-adjoint Schrödinger operators with nontrapping metrics, The semiclassical resolvent and the propagator for non-trapping scattering metrics, Uniform Sobolev estimates for non-trapping metrics, Hodge cohomology of gravitational instantons, Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends, Effective limiting absorption principles, and applications, Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds I: Resolvent construction at high energy, Resolvent and spectral measure for Schrödinger operators on flat Euclidean cones, Decay and Strichartz estimates in critical electromagnetic fields, A sharp version of Price's law for wave decay on asymptotically flat spacetimes, Resolvent at low energy III: The spectral measure, The semiclassical resolvent on conic manifolds and application to Schrödinger equations
Cites Work
- Symbolic functional calculus and \(N\)-body resolvent estimates
- Distribution of resonances for asymptotically Euclidean manifolds
- Scattering metrics and geodesic flow at infinity
- Distorted plane waves for the 3 body Schrödinger operator
- Fourier integral operators. I
- Lagrangian Intersection and the Cauchy Problem
- The spectral projections and the resolvent for scattering metrics
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
