Calculus of Variations and Geometric Measure Theory

T. Caillet - F. Santambrogio

Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme)

created by santambro on 03 Jul 2024
modified on 04 Jul 2024



Inserted: 3 jul 2024
Last Updated: 4 jul 2024

Year: 2024


In this short paper we prove, using the JKO scheme, that quantities such as the Fisher information stay bounded or decrease across time for a family of $1$-homogeneous diffusive PDEs. As a corollary, we prove that moduli of continuity are conserved across time for the solutions of those PDEs.