Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme) (2407.03758v1)

Published 4 Jul 2024 in math.AP

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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