E. Bruè - M. Colombo - G. De Philippis - C. J. P. Johansson
Regularity estimates in transport equations via heat flow and quantitative differentiation
preprint
Inserted: 17 jul 2026
Last Updated: 17 jul 2026
Year: 2026
Abstract:
The purpose of this note is twofold. First, we prove quantitative estimates for the Ambrosio-Trevisan commutator which implies propagation of logarithmic Sobolev regularity. Second, we prove a similar estimate for the DiPerna-Lions commutator by relying on quantitative differentiation.