JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.497, no.1
Abstract
We prove that for any alpha is an element of (0, 1), the C-1,C-alpha regularity of level sets for solutions to a class of active transport equations is propagated over the existence time of the solution. This extends a recent result of Bertozzi, Garnett, Laurent, and Verdera for patch boundary regularity for the aggregation equation. (C) 2020 Elsevier Inc. All rights reserved.