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
10 papers · 2 filters
The norm of the non-self-adjoint harmonic oscillator semigroup
Joe Viola
We identify the norm of the semigroup generated by the non-self-adjoint harmonic oscillator acting on , for all complex times where it is bounded. We relate this prob…
Asymptotic behavior of solutions to the cubic coupled Schrödinger systems in one space dimension
Victor Vilaça da Rocha
In this paper, we study a coupled nonlinear Schr{ö}dinger system with small initial data in the one dimension Euclidean space. Such a system appears in the context of the coupling…
From semigroups to subelliptic estimates for quadratic operators
Michael Hitrik, Karel Pravda-Starov, Joe Viola
Using an approach based on the techniques of FBI transforms, we give a new simple proof of the global subelliptic estimates for non-selfadjoint non-elliptic quadratic differential…
Tunneling for the Robin Laplacian in smooth planar domains
Bernard Helffer, Ayman Kachmar, Nicolas Raymond
We study the low-lying eigenvalues of the semiclassical Robin Laplacian in a smooth planar domain symmetric with respect to an axis. In the case when the curvature of the boundary…
Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle
Pierre Bérard, Bernard Helffer
We address the question of determining the eigenvalues (listed in nondecreasing order, with multiplicities) for which Courant's nodal domain theorem is sharp i.e., for which…
On the convexity of the KdV Hamiltonian
Thomas Kappeler, Alberto Maspero, Jan-Cornelius Molnar +1
We prove that the nonlinear part of the KdV Hamiltonian , when expressed in action variables , extends to a real analytic function on the pos…
On the continuous resonant equation for NLS: II. Statistical study
Pierre Germain, Zaher Hani, Laurent Thomann
We consider the continuous resonant (CR) system of the 2D cubic nonlinear Schr{ö}dinger (NLS) equation. This system arises in numerous instances as an effective equation for the lo…
Stability of finite difference schemes for hyperbolic initial boundary value problems: numerical boundary layers
Benjamin Boutin, Jean-François Coulombel
In this article, we give a unified theory for constructing boundary layer expansions for dis-cretized transport equations with homogeneous Dirichlet boundary conditions. We exhibit…
Heat semigroup and singular PDEs
I. Bailleul, F. Bernicot
We provide in this work a semigroup approach to the study of singular PDEs, in the line of the paracontrolled approach developed recently by Gubinelli, Imkeller and Perkowski. Star…
On the continuous resonant equation for NLS: I. Deterministic analysis
Pierre Germain, Zaher Hani, Laurent Thomann
We study the continuous resonant (CR) equation which was derived by Faou-Germain-Hani as the large-box limit of the cubic nonlinear Schrödinger equation in the small nonlinearity (…