Isotropic hypoellipticity and trend to equilibrium for the Fokker-Planck equation with a high-degree potential F Hérau, F Nier Archive for Rational Mechanics and Analysis 171, 151-218, 2004 | 427 | 2004 |
Hypocoercivity and exponential time decay for the linear inhomogeneous relaxation Boltzmann equation F Hérau Asymptotic Analysis 46 (3-4), 349-359, 2006 | 171 | 2006 |
Short and long time behavior of the Fokker–Planck equation in a confining potential and applications F Hérau Journal of Functional Analysis 244 (1), 95-118, 2007 | 154 | 2007 |
Semiclassical analysis for the Kramers–Fokker–Planck equation F Hérau, J Sjostrand, CC Stolk Communications in partial differential equations 30 (5-6), 689-760, 2005 | 91 | 2005 |
On generalized Ventcel's type boundary conditions for Laplace operator in a bounded domain V Bonnaillie-Noël, M Dambrine, F Hérau, G Vial SIAM journal on mathematical analysis 42 (2), 931-945, 2010 | 67 | 2010 |
Tunnel effect and symmetries for Kramers–Fokker–Planck type operators F Hérau, M Hitrik, J Sjöstrand Journal of the Institute of Mathematics of Jussieu 10 (3), 567-634, 2011 | 64 | 2011 |
Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff R Alexandre, F Hérau, WX Li Journal de Mathématiques Pures et Appliquées 126, 1-71, 2019 | 53 | 2019 |
Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off F Hérau, D Tonon, I Tristani Communications in Mathematical Physics 377 (1), 697-771, 2020 | 52 | 2020 |
Tunnel effect for Kramers–Fokker–Planck type operators F Hérau, M Hitrik, J Sjöstrand Annales Henri Poincaré 9 (2), 209-274, 2008 | 46 | 2008 |
On global existence and trend to the equilibrium for the Vlasov–Poisson–Fokker–Planck system with exterior confining potential F Hérau, L Thomann Journal of Functional Analysis 271 (5), 1301-1340, 2016 | 43 | 2016 |
Magnetic WKB constructions V Bonnaillie-Noël, F Hérau, N Raymond Archive for Rational Mechanics and Analysis 221, 817-891, 2016 | 40 | 2016 |
Anisotropic hypoelliptic estimates for Landau-type operators F Hérau, K Pravda-Starov Journal de mathématiques pures et appliquées 95 (5), 513-552, 2011 | 40 | 2011 |
Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models F Hérau arXiv preprint arXiv:1710.05588, 2017 | 38 | 2017 |
Tunnel effect for Kramers–Fokker–Planck type operators: return to equilibrium and applications F Hérau, M Hitrik, J Sjöstrand International Mathematics Research Notices 2008 (9), rnn057-rnn057, 2008 | 36 | 2008 |
Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker–Planck equations G Dujardin, F Hérau, P Lafitte Numerische Mathematik 144 (3), 615-697, 2020 | 35 | 2020 |
Melin-Hörmander inequality in a Wiener type pseudo-differential algebra F Hérau Arkiv för Matematik 39 (2), 311-338, 2001 | 34 | 2001 |
Purely magnetic tunneling effect in two dimensions V Bonnaillie-Noël, F Hérau, N Raymond Inventiones mathematicae 227 (2), 745-793, 2022 | 31 | 2022 |
Global hypoelliptic estimates for Landau-type operators with external potential F Hérau, WX Li | 17 | 2013 |
Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel F Hérau, D Tonon, I Tristani arXiv preprint arXiv:1709.09943, 2017 | 16 | 2017 |
Semiclassical tunneling and magnetic flux effects on the circle V Bonnaillie-Noël, F Hérau, N Raymond Journal of Spectral Theory 7 (3), 771-796, 2017 | 15 | 2017 |