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
Singular-value decomposition of solution operators to model evolution equations
Alexandru Aleman, Joe Viola
We consider evolution equations generated by quadratic operators admitting a decomposition in creation-annihilation operators without usual ellipticity-type hypotheses; this class…
Asymptotic behavior of the nonlinear Schrödinger equation with harmonic trapping
Zaher Hani, Laurent Thomann
We consider the cubic nonlinear Schrödinger equation with harmonic trapping on (). In the case when all but one directions are trapped (a.k.a "cigar-s…
Chambers's formula for the graphene and the Hou model with kagome periodicity and applications
Bernard Helffer, Philippe Kerdelhué, Jimena Royo-Letelier
The aim of this article is to prove that for the graphene model like for a model considered by the physicist Hou on a kagome lattice, there exists a formula which is similar to the…
The Ginzburg-Landau functional with vanishing magnetic field
Bernard Helffer, Ayman Kachmar
We study the infimum of the Ginzburg-Landau functional in the case of a vanishing external magnetic field in a two dimensional simply connected domain. We obtain an energy asymptot…
Gaussian heat kernel bounds through elliptic Moser iteration
Frédéric Bernicot, Thierry Coulhon, Dorothee Frey
On a doubling metric measure space endowed with a "carré du champ", we consider estimates of the gradient of the heat semigroup and scale-invariant Poincaré ine…
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…
On random Hermite series
Rafik Imekraz, Didier Robert, Laurent Thomann
We study integrability and continuity properties of random series of Hermite functions. We get optimal results which are analogues to classical results concerning Fourier series, l…
Dirichlet eigenfunctions of the square membrane: Courant's property, and A. Stern's and Å. Pleijel's analyses
Pierre Bérard, Bernard Helffer
In this paper, we revisit Courant's nodal domain theorem for the Dirichlet eigenfunctions of a square membrane, and the analyses of A. Stern and Å. Pleijel.
Tunnel effect for semiclassical random walk
J. -F. Bony, F. Hérau, L. Michel
We study a semiclassical random walk with respect to a probability measure with a finite number n_0 of wells. We show that the associated operator has exactly n_0 exponentially clo…
On the inviscid limit of the 2D Euler equations with vorticity along the scale
Frederic Bernicot, Tarek M. Elgindi, Sahbi Keraani
In a recent paper [5], the global well-posedness of the two-dimensional Euler equation with vorticity in \mbox{} was proved, where is a Banach space which is…
Transmission eigenvalue-free regions
Georgi Vodev
We obtain large regions free of eigenvalues of the interior transmission problem.