98 citations · 164 across the 7 of their papers we have counts for
9 papers
Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
Frédéric Hérau, Daniela Tonon, Isabelle Tristani
In this paper, we investigate the problems of Cauchy theory and exponential stability for the inhomogeneous Boltzmann equation without angular cut-off. We only deal with the physic…
Supersymmetric structures for second order differential operators
Frederic Herau, Michael Hitrik, Johannes Sjoestrand
Necessary and sufficient conditions are obtained for a real semiclassical partial differential operator of order two to possess a supersymmetric structure. For the operator coming…
Tunnel effect and symmetries for Kramers Fokker-Planck type operators
Frederic Herau, Michael Hitrik, Johannes Sjoestrand
We study operators of Kramers-Fokker-Planck type in the semiclassical limit, assuming that the exponent of the associated Maxwellian is a Morse function with a finite number …
Anisotropic hypoelliptic estimates for Landau-type operators
Frederic Herau, Karel Pravda-Starov
We establish global hypoelliptic estimates for linear Landau-type operators. Linear Landau-type equations are a class of inhomogeneous kinetic equations with anisotropic diffusion…
Tunnel effect for Kramers-Fokker-Planck type operators: return to equilibrium and applications
Frederic Herau, Michael Hitrik, Johannes Sjoestrand
In the first part of this work, we consider second order supersymmetric differential operators in the semiclassical limit, including the Kramers-Fokker-Planck operator, such that t…
Tunnel effect for Kramers-Fokker-Planck type operators
Frederic Herau, Michael Hitrik, Johannes Sjoestrand
We consider operators of Kramers-Fokker-Planck type in the semi-classical limit such that the exponent of the associated Maxwellian is a Morse function with two local minima and a…