Generalized Strichartz estimates for wave and Dirac equations in Aharonov-Bohm magnetic fields
Analysis of PDEs
2020-08-04 v1
Abstract
We prove generalized Strichartz estimates for wave and massless Dirac equations in Aharonov-Bohm magnetic fields. Following a well established strategy to deal with scaling critical perturbations of dispersive PDEs, we make use of Hankel transform and rely on some precise estimates on Bessel functions. As a complementary result, we prove a local smoothing estimate for the Klein-Gordon equation in the same magnetic field.
Keywords
Cite
@article{arxiv.2008.00340,
title = {Generalized Strichartz estimates for wave and Dirac equations in Aharonov-Bohm magnetic fields},
author = {Federico Cacciafesta and Zhiqing Yin and Junyong Zhang},
journal= {arXiv preprint arXiv:2008.00340},
year = {2020}
}
Comments
22 pages. Comments are welcome!