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

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Preprint

Inserted: 3 jul 2024
Last Updated: 4 jul 2024

Year: 2024

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


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