A Note on the smoothness of flow maps for the Yang-Mills system in the Lorenz gauge
Analysis of PDEs
2020-07-02 v1
Abstract
We study the failure of the smoothness of flow maps for the dimensional Yang-Mills system in the Lorenz gauge by Knapp type counterexamples. This shows a gap between the scaling critical regularity exponents and the best attainable regularity via Picard's iteration in the Yang-Mills system under the Lorenz gauge condition.
Cite
@article{arxiv.2007.00531,
title = {A Note on the smoothness of flow maps for the Yang-Mills system in the Lorenz gauge},
author = {Seokchang Hong},
journal= {arXiv preprint arXiv:2007.00531},
year = {2020}
}
Comments
5 pages