Accepted Paper

Inserted: 3 jul 2024
Last Updated: 10 mar 2025

Journal: Bulletin of the Hellenic Mathematical Society
Year: 2025

Abstract:

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.

Tags: EYAWKAJKOS

Download:

• .pdf file of the preprint