A note on the boundedness of solutions for fractional relativistic Schrödinger equations

DOI10.1142/S1664360721500107OpenAlexW3205772249MaRDI QIDQ5095251

Vincenzo Ambrosio

Publication date: 5 August 2022

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1664360721500107

zbMATH Keywords

exponential decayKato's inequalityregularity resultsfractional Schrödinger operators

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Pseudodifferential operators (47G30) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unique continuation properties for relativistic Schrödinger operators with a singular potential
• Hitchhiker's guide to the fractional Sobolev spaces
• Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
• Theory of Bessel potentials. I
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Minimum action solutions of some vector field equations
• Spectral analysis of pseudodifferential operators
• Estimates of Green function for relativistic \(\alpha\)-stable process
• Two-sided optimal bounds for Green functions of half-spaces for relativistic \(\alpha\)-stable process
• Schrödinger operators with singular potentials
• Bessel potentials, hitting distributions and Green functions
• The Stability of Matter in Quantum Mechanics
• Concentration phenomena for fractional magnetic NLS equations
• Nonlinear Fractional Schrödinger Equations in R^N
• Modern Fourier Analysis

This page was built for publication: A note on the boundedness of solutions for fractional relativistic Schrödinger equations