4 citations · 4 across the 4 of their papers we have counts for
6 papers
Hölder gradient estimates for fractional -caloric functions
Davide Giovagnoli, David Jesus, Luis Silvestre
We establish interior regularity estimates, for some , for fractional -caloric functions when is in the range . As a consequence, we deduc…
The entropy production is not always monotone for hard spheres or for Maxwell molecules
Luis Silvestre
In 1966, McKean asked whether the entropy production of the Boltzmann equation must be monotone decreasing in time. We show that this is not the case even in the space-homogeneous…
The entropy production is not always monotone in the space-homogeneous Boltzmann equation
Luis Silvestre
We show an example of a function and a collision kernel for which the entropy production increases in time when we flow it by the space-homogeneous Boltzmann equation. The collisio…
regularity for fractional -harmonic functions
Davide Giovagnoli, David Jesus, Luis Silvestre
We establish interior regularity estimates for some , for solutions of the fractional -Laplace equation when is in the range $p \in [2,2/(1-…
The Landau equation and Fisher information
Nestor Guillen, Luis Silvestre
In this expository note (submitted to Notices of the AMS) we present the ideas used in our recent work ruling out blow up for the Landau equation with Coulomb potential. Blow up is…
The Landau equation does not blow up
Nestor Guillen, Luis Silvestre
We consider solutions to the space-homogeneous Landau equation with a general family of interaction potentials. We prove that their Fisher information is monotone decreasing in tim…