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math.AP2023
New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations
Noemi David, Filippo Santambrogio
We obtain new estimates for the solution of both the porous medium and the fast diffusion equations by studying the evolution of suitable Lipschitz norms. Our results include insta…
math.PR2023★ 3 cited
Uniform contractivity of the Fisher infinitesimal model with strongly convex selection
Vincent Calvez, David Poyato, Filippo Santambrogio
The Fisher infinitesimal model is a classical model of phenotypic trait inheritance in quantitative genetics. Here, we prove that it encompasses a remarkable convexity structure wh…