1 citations · 3 across the 10 of their papers we have counts for
5 papers · 2 filters
Production of the Fisher information for the Landau-Coulomb equation with L1 initial data
Laurent Desvillettes, William Golding, Maria Pia Gualdani +1
We consider the Landau-Coulomb equation for initial data with bounded mass, finite numbers of moments, and entropy. We show the existence of a global weak solution that has bounded…
Semi-local behaviour of non-local hypoelliptic equations: Boltzmann
Amélie Loher
The purpose of this note is to demonstrate the announced result in [Loher, The Strong Harnack inequality for the Boltzmann equation, Séminaire Laurent Schwartz proceeding] by filli…
Semi-local behaviour of non-local hypoelliptic equations: divergence form
Amélie Loher
We derive the Strong Harnack inequality for a class of hypoelliptic integro-differential equations in divergence form. Our result is semi-local, in the sense that we require the eq…
Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators
Francesca Anceschi, Helge Dietert, Jessica Guerand +3
We propose a systematic approach based on trajectories to prove a Poincaré inequality for weak non-negative sub-solutions to hypoelliptic equations with an arbitrary number of Hörm…
Global smooth solutions to the Landau-Coulomb equation in
William Golding, Maria Gualdani, Amélie Loher
We consider the homogeneous Landau equation in with Coulomb potential and initial data in polynomially weighted . We show that there exists a smooth solutio…