Eigenvalue bounds for non-self-adjoint Schrödinger operators with nontrapping metrics
type: Item
instance of: scholarly article
title: Eigenvalue bounds for non-self-adjoint Schrödinger operators with nontrapping metrics
zbMATH Open document ID: 1452.35122
author: Colin Guillarmou
author: Andrew Hassell
author: Katya Krupchyk
published in: Analysis \& PDE
publication date: 2020-11-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1709.09759
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35R01
Mathematics Subject Classification ID: 42B37
Mathematics Subject Classification ID: 58J40
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 7271842
zbMATH Keywords: Keller-type bounds
zbMATH Keywords: Lieb-Thirring-type bounds
zbMATH Keywords: asymptotically conic manifolds
MaRDI profile type: Publication
OpenAlex ID: W3086763586
arXiv ID: 1709.09759
cites work: Bounds on complex eigenvalues and resonances.
cites work: Schrödinger operator with non-zero accumulation points of complex eigenvalues
cites work: A Blaschke-type condition and its application to complex Jacobi matrices
cites work: Spectral geometry of singular Riemannian spaces
cites work: On the diffraction of waves by conical singularities. II
cites work: Stein-Tomas restriction theorem via spectral measure on metric measure spaces
cites work: Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials
cites work: Lp resolvent estimates for magnetic Schrödinger operators with unbounded background fields
cites work: On the discrete spectrum of non-selfadjoint operators
cites work: Eigenvalues of Non-selfadjoint Operators: A Comparison of Two Approaches
cites work: Open problems: Lieb-Thirring type inequalities for Schrödinger operators with a complex-valued potential
cites work: Estimates for eigenvalues of Schrödinger operators with complex-valued potentials
cites work: Spectral stability of Schrödinger operators with subordinated complex potentials
cites work: Eigenvalue bounds for Schrödinger operators with complex potentials
cites work: Eigenvalue bounds for Schrödinger operators with complex potentials. III
cites work: Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates
cites work: Eigenvalue bounds for Schrödinger operators with complex potentials II
cites work: Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
cites work: Spectral analysis of second-order elliptic operators on noncompact manifolds
cites work: Boundedness properties of fractional integral operators associated to non-doubling measures
cites work: Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
cites work: Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I.
cites work: Uniform Sobolev estimates for non-trapping metrics
cites work: Resolvent at low energy. III: The spectral measure
cites work: Restriction and spectral multiplier theorems on asymptotically conic manifolds
cites work: The resolvent for Laplace-type operators on asymptotically conic spaces
cites work: The semiclassical resolvent and the propagator for non-trapping scattering metrics
cites work: Global-in-time Strichartz estimates on nontrapping, asymptotically conic manifolds
cites work: Sharp Strichartz estimates on nontrapping asymptotically conic manifolds
cites work: Q3736112
cites work: Lower Bounds and Isoperimetric Inequalities for Eigenvalues of the Schrödinger Equation
cites work: Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
cites work: Eigenvalue estimates for Schrödinger operators with complex potentials
cites work: Q4090277
cites work: \(c_ p\)
cites work: Q4310183
cites work: Scattering metrics and geodesic flow at infinity
cites work: Eigenvalue bounds for non-self-adjoint Schrödinger operators with the inverse-square potential
cites work: Operatori pseudo-differenziali in R\(^n\) e applicazioni
cites work: Effective limiting absorption principles, and applications
cites work: Lieb-Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators
cites work: Q3857325
cites work: Operator Theory
cites work: Hardy-Littlewood theory for semigroups
cites work: Semiclassical estimates in asymptotically Euclidean scattering
DOI: 10.2140/APDE.2020.13.1633
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description: scientific article