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arXiv · 2407.03758

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

Thibault Caillet·Filippo Santambrogio
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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.

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Thibault Caillet, Filippo Santambrogio. 2024-07-04. Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme). https://arxiv.org/abs/2407.03758

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