52 citations
- Institut Camille JordanFR211 papers
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Showing 2020 · math.APShow all
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math.AP2020
Sobolev's inequality under a curvature-dimension condition
Louis Dupaigne, Ivan Gentil, Simon Zugmeyer
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci curvature. This result was initially obtained in 1983 by Ilias. Our goal is to…
math.AP2020
Lipschitz estimates on the JKO scheme for the Fokker-Plack equation on bounded convex domains
Vincent Ferrari, Filippo Santambrogio
Given a semi-convex potential V on a convex and bounded domain , we consider the Jordan-Kinderlehrer-Otto scheme for the Fokker-Planck equation with potential V, which defines,…
math.AP2020★ 5 cited
Qualitative properties of spatial epidemiological models
Romain Ducasse
We study the qualitative properties of a spatial diffusive heterogeneous SIR model, that appears in mathematical epidemiology to describe the spread of an infectious disease in a p…