238 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Nantes UniversitéFR266 papers
- Centre National de la Recherche ScientifiqueFR187 papers
- Université de NantesFR152 papers
- École Centrale de NantesFR48 papers
- Laboratoire de Mathématiques d'OrsayFR36 papers
- Institut de recherche mathématique de RennesFR25 papers
- Institut FourierFR25 papers
- Université Paris-SudFR25 papers
- Université Paris-SaclayFR17 papers
- Institut national de recherche en sciences et technologies du numériqueFR12 papers
- Analyse, Géométrie et ModélisationFR11 papers
- Institut de Mathématiques de BordeauxFR11 papers
11 papers · 2 filters
On the Kramers-Fokker-Planck equation with decreasing potentials in dimension one
Radek Novak, Xue Ping Wang
For quickly decreasing potentials with one position variable, the first threshold zero is always a resonance of the Kramers-Fokker-Planck operator. In this article we study low-ene…
Nodal domains, spectral minimal partitions, and their relation to Aharonov-Bohm operators
Virginie Bonnaillie-Noël, Bernard Helffer, Thomas Hoffmann-Ostenhof
This survey is a short version of a chapter written by the first two authors in the book [A. Henrot, editor. Shape optimization and spectral theory. Berlin: De Gruyter, 2017] (wher…
Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models
Frédéric Hérau
In this lectures given at the Morning side center of Mathematics in October 2016, we present in a very simple framework Hilbertian hypocoercive methods in the case of 1d kinetic in…
Stable and unstable time quasi periodic solutions for a system of coupled NLS equations
Benoît Grébert, Victor Vilaça da Rocha
We prove that a system of coupled nonlinear Schr{ö}dinger equations on the torus exhibits both stable and unstable small KAM tori. In particular the unstable tori are related to a…
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…
The density of superconductivity in domains with corners
Bernard Helffer, Ayman Kachmar
We compute the -norm of the minimizer of the Ginzburg-Landau functional in a planar domain with a finite number of corners. Our computations are valid for a uniform applied ma…
Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel
Frédéric Hérau, Daniela Tonon, Isabelle Tristani
We prove regularization properties in short time for inhomogeneous kinetic equations whose collision kernel behaves like a fractional power of the Laplacian in velocity. We treat a…
On Courant's nodal domain property for linear combinations of eigenfunctions, Part I
Pierre Bérard, Bernard Helffer
According to Courant's theorem, an eigenfunction as\-sociated with the -th eigenvalue has at most nodal domains. A footnote in the book of Courant and Hilbert, states…
Reducibility of the Quantum Harmonic Oscillator in -dimensions with Polynomial Time Dependent Perturbation
Dario Bambusi, Benoit Grebert, Alberto Maspero +1
We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimensions with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree t…
On the hidden mechanism behind non-uniqueness for the anisotropic Calder{ó}n problem with data on disjoint sets
Thierry Daudé, Niky Kamran, Francois Nicoleau
We show that there is generically non-uniqueness for the anisotropic Calderón problem at fixed frequency when the Dirichlet and Neumann data are measured on disjoint sets of the bo…
High-frequency approximation of the interior dirichlet-to-neumann map and applications to the transmission eigenvalues
Georgi Vodev
We study the high-frequency behavior of the Dirichlet-to-Neumann map for an arbitrary compact Riemannian manifold with a non-empty smooth boundary. We show that far from the real a…