18 citations
- Département de mathématiques et applicationsFR3 papers
- École Normale Supérieure - PSLFR3 papers
- Latvian Maritime AcademyLV3 papers
- AG Medical (France)FR1 paper
- Analyse, Géométrie et ModélisationFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Institut de recherche mathématique de RennesFR1 paper
- Institute of Rural Management AnandIN1 paper
- Institut Montpelliérain Alexander GrothendieckFR1 paper
- Kyushu UniversityJP1 paper
- Laboratoire Jean-Alexandre DieudonnéFR1 paper
- The University of SydneyAU1 paper
14 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…
Gehring's Lemma for kinetic Fokker-Planck equations
Jessica Guerand, Cyril Imbert, Clément Mouhot
In this article, we establish a "Gehring lemma" for a real function satisfying a reverse Hölder inequality on all "kinetic cylinders" contained in a large one: it asserts that the…
Modulation algorithm for the nonlinear Schr{ö}dinger equation
Erwan Faou, Yoann Le Henaff, Pierre Raphaël
Based on recent ideas, stemming from the use of bubbles, we discuss an algorithm for the numerical simulation of the cubic nonlinear Schr{ö}dinger equation with harmonic potential…
Propagation of smallness and spectral estimates
Nicolas Burq, Iván Moyano
The purpose of this article is to show that the spectral projector estimates for Laplace operators can be deduced from Logunov-Malinnikova's Propagation of smallness estimates for…
Log-transform and the weak Harnack inequality for kinetic Fokker-Planck equations
Jessica Guerand, Cyril Imbert
This article deals with kinetic Fokker-Planck equations with essentially bounded coefficients. A weak Harnack inequality for non-negative super-solutions is derived by considering…
Spectral Inequalities for the Schr{ö}dinger operator
Gilles Lebeau, Iván Moyano
In this paper we deal with the so-called "spectral inequalities", which yield a sharp quantification of the unique continuation for the spectral family associated with the Schrödin…