47 citations · 154 across the 20 of their papers we have counts for
4 papers · 1 filter
On the negative spectrum of the Robin Laplacian in corner domains
Nicolas Popoff, Vincent Bruneau
For a bounded corner domain , we consider the Robin Laplacian in with large Robin parameter. Exploiting multiscale analysis and a recursive procedure, we have a precise desc…
Magnetic Laplacian in sharp three dimensional cones
Virginie Bonnaillie-Noël, Monique Dauge, Nicolas Popoff +1
The core result of this paper is an upper bound for the ground state energyof the magnetic Laplacian with constant magnetic field on cones that are contained in ahalf-space. This b…
An effective Hamiltonian for the eigenvalue asymptotics of a Robin Laplacian with a large parameter
Konstantin Pankrashkin, Nicolas Popoff
We consider the Laplacian on a class of smooth domains , , with attractive Robin boundary conditions: \[ Q^Ω_αu=-Δu, \quad \dfrac{\partial u}{\partia…
Band functions in the presence of magnetic steps
Peter D. Hislop, Nicolas Popoff, Nicolas Raymond +1
We complete the analysis of the band functions for two-dimensional magnetic Schrödinger operators with piecewise constant magnetic fields. The discontinuity of the magnetic field c…