Local smoothing estimates for the massless Dirac-Coulomb equation in 2 and 3 dimensions

DOI10.1016/j.jfa.2016.04.003zbMath1349.35316arXiv1503.00945OpenAlexW4304546247MaRDI QIDQ306572

Federico Cacciafesta, Éric Séré

Publication date: 31 August 2016

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

Full work available at URL: https://arxiv.org/abs/1503.00945

zbMATH Keywords

Dirac equationdispersive PDEssmoothing estimates

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (13)

Global Strichartz estimates for the Dirac equation on symmetric spaces ⋮ Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications ⋮ Diffraction for the Dirac-Coulomb propagator ⋮ Strichartz estimates for the 2D and 3D massless Dirac-Coulomb equations and applications ⋮ Asymptotics of the radiation field for the massless Dirac-Coulomb system ⋮ Dispersive estimates for massive Dirac operators in dimension two ⋮ The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions ⋮ Remarks on endpoint Strichartz estimates for Schrödinger equations with the critical inverse-square potential ⋮ Dispersive estimates for the Dirac equation in an Aharonov-Bohm field ⋮ Hankel transforms and weak dispersion ⋮ A Dirac field interacting with point nuclear dynamics ⋮ The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates ⋮ Angular-radial integrability of Coulomb-like potentials in Dirac equations

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