On the absence of positive eigenvalues of Schrödinger operators with rough potentials

From MaRDI portal
Publication:1423510

DOI10.1007/s00039-003-0439-2zbMath1055.35098OpenAlexW2036645494MaRDI QIDQ1423510

Alexandru D. Ionescu, David S. Jerison

Publication date: 4 March 2004

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-003-0439-2



Related Items

Weak coupling limit for Schrödinger-type operators with degenerate kinetic energy for a large class of potentials, Resolvent estimates in amalgam spaces and asymptotic expansions for Schrödinger equations, The Schrödinger Equation with a Potential in Rough Motion, Rellich's theorem for spherically symmetric repulsive Hamiltonians, Scattering for a nonlinear Schrödinger equation with a potential, On real resonances for three-dimensional Schrödinger operators with point interactions, Decay estimates and Strichartz estimates of fourth-order Schrödinger operator, Carleman estimates and absence of embedded eigenvalues, Improved eigenvalue bounds for Schrödinger operators with slowly decaying potentials, Absence of positive eigenvalues of magnetic Schrödinger operators, Remarks on \(L^{p}\)-limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems, Decay estimates for fourth-order Schrödinger operators in dimension two, A new class of Schrödinger operators without positive eigenvalues, Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality, A positive density analogue of the Lieb-Thirring inequality, A new Levinson's theorem for potentials with critical decay, A dual approach in Orlicz spaces for the nonlinear Helmholtz equation, A limiting absorption principle for high-order Schrödinger operators in critical spaces, Spectral multipliers and wave propagation for Hamiltonians with a scalar potential, The Scattering Resonances for Schrödinger-Type Operators with Unbounded Potentials, Counterexample to the Laptev-Safronov conjecture, Decay estimates for the wave equation in two dimensions, New estimates for a time-dependent Schrödinger equation, Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications, Number of eigenvalues for dissipative Schrödinger operators under perturbation, Strichartz estimates and maximal operators for the wave equation in \(\mathbb R^3\), Limiting absorption principle on L p-spaces and scattering theory, A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations, Tosio Kato's work on non-relativistic quantum mechanics. I, Limiting absorption principle for Schrödinger operators with oscillating potentials, Uniform Sobolev estimates for non-trapping metrics, Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers, \(L^p\) Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations, A Dispersive Bound for Three-Dimensional Schrödinger Operators with Zero Energy Eigenvalues, Uncountably many solutions for nonlinear Helmholtz and curl-curl equations, Strichartz estimates for the Schrödinger equation with time-periodic \(L^{n/2}\) potentials, Eigenvalue bounds and spectral stability of Lamé operators with complex potentials, Absence of eigenvalues of analytic quasi-periodic Schrödinger operators on \({\mathbb{R}}^d\), Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials, Decay estimates for higher-order elliptic operators, Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications, Book review of: N. Lerner, Carleman inequalities. An introduction and more, Uniform bounds of discrete Birman–Schwinger operators, Uniform Sobolev estimates in \(\mathbb{R}^n\) involving singular potentials, Tosio Kato’s work on non-relativistic quantum mechanics, Part 2, On pointwise decay of waves, Agmon-Kato-Kuroda theorems for a large class of perturbations