8 citations · 9 across the 6 of their papers we have counts for
9 papers
Localization of the eigenfunctions of a Bloch-Torrey operator on the half-plane
Martin Averseng, Nicolas Frantz, Frédéric Hérau +1
We consider a non-self adjoint operator of the form on the upper half plane with Dirichlet boundary conditions on with , …
Semiclassical tunneling for some 1D Schrödinger operators with complex-valued potentials
Martin Averseng, Nicolas Frantz, Frédéric Hérau +1
We consider the non-selfadjoint, semiclassical Schrödinger operator , where and is even an…
Semiclassical asymptotics of the Bloch--Torrey operator in two dimensions
Frédéric Hérau, David Krejcirik, Nicolas Raymond
The Bloch--Torrey operator on a bounded smooth planar domain, subject to Dirichlet boundary conditions, is analyzed. Assuming an…
Spectral asymptotics of the Neumann Laplacian with variable magnetic field on a smooth bounded domain in three dimensions
Khaled Abou Alfa, Maha Aafarani, Frédéric Hérau +1
This article is devoted the semiclassical spectral analysis of the Neumann magnetic Laplacian on a smooth bounded domain in three dimensions. Under a generic assumption on the vari…
Quantitative Geometric Control in Linear Kinetic Theory
Helge Dietert, Frédéric Hérau, Harsha Hutridurga +1
We consider general linear kinetic equations combining transport and a linear collision on the kinetic variable with a spatial weight that can vanish on part of the domain. The con…
Semiclassical spectral gaps of the 3D Neumann Laplacian with constant magnetic field
Frédéric Hérau, Nicolas Raymond
This article deals with the spectral analysis of the semiclassical Neumann magnetic Laplacian on a smooth bounded domain in dimension three. When the magnetic field is constant and…
Special macroscopic modes and hypocoercivity
Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau +3
We study linear inhomogeneous kinetic equations with an external confining potential and a collision operator admitting several local conservation laws (local density, momentum and…
Magnetic WKB Constructions
Virginie Bonnaillie-Noël, Nicolas Raymond, Frédéric Hérau
This paper is devoted to the semiclassical magnetic Laplacian. Until now WKB expansions for the eigenfunctions were only established in presence of a non-zero electric potential. H…
Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff
Radjesvarane Alexandre, Frédéric Hérau, Wei-Xi Li
In this article we provide global subelliptic estimates for the linearized inhomogeneous Boltzmann equation without angular cutoff, and show that some global gain in the spatial di…