Spectral multipliers and wave propagation for Hamiltonians with a scalar potential

DOI10.1016/J.JFA.2023.110300arXiv2207.02987OpenAlexW4390372987MaRDI QIDQ6187694

Marius Beceanu, Michael Goldberg

Publication date: 31 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.02987

zbMATH Keywords

scalar potentialStrichartz estimatesspectral multipliersweak-type estimates

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Qxx) Hyperbolic equations and hyperbolic systems (35Lxx) Harmonic analysis in several variables (42Bxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A spectral multiplier theorem associated with a Schrödinger operator
• Schrödinger dispersive estimates for a scaling-critical class of potentials
• New estimates for a time-dependent Schrödinger equation
• Spectral multipliers for Schrödinger operators
• Carleman estimates and absence of embedded eigenvalues
• On the absence of positive eigenvalues of Schrödinger operators with rough potentials
• Strichartz estimates and maximal operators for the wave equation in \(\mathbb R^3\)
• On the wave equation with a large rough potential
• Dispersive estimates for Schroedinger operators with measure-valued potentials in R^3
• Schrödinger semigroups
• Structure formulas for wave operators
• Endpoint Strichartz estimates
• OptimalL^∞decay for solutions to the wave equation with a potential
• Spectral Multipliers, Bochner–Riesz Means and Uniform Sobolev Inequalities for Elliptic Operators
• Structure of wave operators for a scaling-critical class of potentials

This page was built for publication: Spectral multipliers and wave propagation for Hamiltonians with a scalar potential