Potential theory for nonlocal drift-diffusion equations
Analysis of PDEs
2023-11-28 v1
Abstract
The purpose of this paper is to prove new fine regularity results for nonlocal drift-diffusion equations via pointwise potential estimates. Our analysis requires only minimal assumptions on the divergence free drift term, enabling us to include drifts of critical order belonging merely to BMO. In particular, our results allow to derive new estimates for the dissipative surface quasi-geostrophic equation.
Cite
@article{arxiv.2311.15416,
title = {Potential theory for nonlocal drift-diffusion equations},
author = {Quoc-Hung Nguyen and Simon Nowak and Yannick Sire and Marvin Weidner},
journal= {arXiv preprint arXiv:2311.15416},
year = {2023}
}
Comments
38 pages