Dispersive estimates for the Dirac equation in an Aharonov-Bohm field
Analysis of PDEs
2017-01-02 v1 Mathematical Physics
math.MP
Abstract
We prove local smoothing and weighted Strichartz estimates for the Dirac equation with a Aharonov-Bohm potential. The proof relies on an explicit representation of the solution built in terms of spectral projections.
Keywords
Cite
@article{arxiv.1612.09586,
title = {Dispersive estimates for the Dirac equation in an Aharonov-Bohm field},
author = {Federico Cacciafesta and Luca Fanelli},
journal= {arXiv preprint arXiv:1612.09586},
year = {2017}
}
Comments
18 pages