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July 4, 2024Open Access

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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Cite This Study

Caillet et al. (2024) studied this question.

synapsesocial.com/papers/68e616c3b6db6435875a9724 https://doi.org/10.48550/arxiv.2407.03758

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