Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields
Analysis of PDEs
2022-02-09 v2
Abstract
The aim of this note is to prove sharp regularity estimates for solutions of the continuity equation associated to vector fields of class with . The regularity is of "logarithmic order" and is measured by means of suitable versions of Gargliardo's seminorms.
Cite
@article{arxiv.1806.03466,
title = {Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields},
author = {Elia Bruè and Quoc-Hung Nguyen},
journal= {arXiv preprint arXiv:1806.03466},
year = {2022}
}