3 papers
math.AP2026
An Aronson-Bénilan / Li-Yau estimate in the JKO scheme in small dimension
Fanch Coudreuse
We derive an Aronson-Bénilan / Li-Yau estimate in the JKO scheme associated to the porous-medium, heat, and fast-diffusion equations, in dimensions and , and on simple doma…
math.AP2026
Generalized Logarithmic Sobolev Inequality by the JKO Scheme
Thibault Caillet, Fanch Coudreuse
Using a discrete Bakry-{Ã}mery method based on the JKO scheme, relying on the dissipation of entropy and Fisher information along a discrete flow, we establish new generalized log…
math.AP2025
Li-Yau-Hamilton Inequality on the JKO Scheme for the Granular-Medium Equation
Fanch Coudreuse
We establish a version of the Li--Yau--Hamilton inequality for the Granular-Medium equation on the torus, both at the PDE level and for its time-discrete approximation given by the…