Local smoothing estimates for the massless Dirac-coulomb equation in 2 and 3 dimensions
Analysis of PDEs
2023-12-18 v2 Mathematical Physics
math.MP
Abstract
We prove local smoothing estimates for the massless Dirac equation with a Coulomb potential in 2 and 3 space dimensions. Our strategy of proof is inspired by a paper of Burq et al. (2003) about Schroedinger and wave equations with inverse-square potentials, and relies on partial wave subspaces decomposition and spectral analysis of the Dirac-Coulomb operator.
Keywords
Cite
@article{arxiv.1503.00945,
title = {Local smoothing estimates for the massless Dirac-coulomb equation in 2 and 3 dimensions},
author = {Federico Cacciafesta and Eric Séré},
journal= {arXiv preprint arXiv:1503.00945},
year = {2023}
}