## Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields

created by bruè on 09 Jun 2018
modified on 25 Dec 2022

[BibTeX]

Published Paper

Inserted: 9 jun 2018
Last Updated: 25 dec 2022

Journal: Analysis and PDE
Pages: 18
Year: 2018

Abstract:

The aim of this note is to prove sharp regularity estimates for solutions of the continuity equation associated to vector fields of class $W^{1,p}$ with $p>1$. The regularity is of “logarithmic order” and is measured by means of suitable versions of Gargliardo’s seminorms.