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math.AP2024
Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme)
Thibault Caillet, Filippo Santambrogio
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…
math.AP2024
Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows
Thibault Caillet, Filippo Santambrogio
We prove an existence result for a large class of PDEs with a nonlinear Wasserstein gradient flow structure. We use the classical theory of Wasserstein gradient flow to derive an E…