5 citations · 35 across the 33 of their papers we have counts for
Showing 2020 · math.SPShow all
3 papers · 2 filters
math.SP2020
Spectral flow for pair compatible equipartitions
Bernard Helffer, Mikael Persson Sundqvist
We show that a recent spectral flow approach proposed by Berkolaiko-Cox-Marzuola for analyzing the nodal deficiency of the nodal partition associated to an eigenfunction can be ext…
math.SP2020★ 2 cited
Magnetic confinement for the 3D Robin Laplacian
Bernard Helffer, Ayman Kachmar, Nicolas Raymond
We determine accurate asymptotics of the lowest eigenvalue for the Laplace operator with a smooth magnetic field and Robin boundary conditions in a smooth 3D domain, when the Robin…
math.SP2020
Courant-sharp Robin eigenvalues for the square: the case of negative Robin parameter
Katie Gittins, Bernard Helffer
We consider the cases where there is equality in Courant's nodal domain theorem for the Laplacian with a Robin boundary condition on the square. In our previous two papers, we trea…