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
5 papers · 2 filters
Nodal domains in the square---the Neumann case
Bernard Helffer, Mikael Persson Sundqvist
Å Pleijel has proved that in the case of the Laplacian on the square with Neumann condition, the equality in the Courant nodal theorem (Courant sharp situation) can only be true fo…
On the number of nodal domains of the 2D isotropic quantum harmonic oscillator -- an extension of results of A. Stern --
Pierre Bérard, Bernard Helffer
In the case of the sphere and the square, Antonie Stern (1925) claimed in her PhD thesis the existence of an infinite sequence of eigenvalues whose corresponding eigenspaces contai…
Tunneling between corners for Robin Laplacians
Bernard Helffer, Konstantin Pankrashkin
We study the Robin Laplacian in a domain with two corners of the same opening, and we calculate the asymptotics of the two lowest eigenvalues as the distance between the corners in…
Large-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential
Xue Ping Wang
In this work, we use scattering method to study the Kramers-Fokker-Planck equation with a potential whose gradient tends to zero at the infinity. For short-range potentials in dime…
Asymptotics of the number of the interior transmission eigenvalues
Vesselin Petkov, Georgi Vodev
We prove a Weyl asymptotics , , for the counting function $N(r) = \sharp\{λ_j \in {\mathbb C} \setminus \{0\}:\: |…