6 papers
Conditional appearance of decay for the non-cutoff Boltzmann equation in a bounded domain
Cyril Imbert, Amélie Loher
This work is concerned with the generation of decay estimates in the velocity variable for solutions of the space-inhomogeneous Boltzmann equation without cutoff on a bounded spati…
Quantitative Schauder estimates for hypoelliptic equations
Amélie Loher
We derive Schauder estimates using ideas from Campanato's approach for a general class of local hypoelliptic operators and non-local kinetic equations. The method covers equations…
Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators
Francesca Anceschi, Helge Dietert, Jessica Guerand +5
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…
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 fill…
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…