Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme)
Analysis of PDEs
2024-07-08 v1
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.
Keywords
Cite
@article{arxiv.2407.03758,
title = {Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme)},
author = {Thibault Caillet and Filippo Santambrogio},
journal= {arXiv preprint arXiv:2407.03758},
year = {2024}
}