2 papers
math.AP2026
Generalized Logarithmic Sobolev Inequality by the JKO Scheme
Thibault Caillet, Fanch Coudreuse
Using a discrete Bakry-{É}mery method based on the JKO scheme, relying on the dissipation of entropy and Fisher information along a discrete flow, we establish new generalized loga…
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…