47 citations · 154 across the 20 of their papers we have counts for
22 papers
Eigenvalue and Resonance Asymptotics in perturbed periodically twisted tubes: Twisting versus Bending
Vincent Bruneau, Pablo Miranda, Daniel Parra +1
We consider the Dirichlet Laplacian in a three-dimensional waveguide that is a small deformation of a periodically twisted tube. The deformation is given by a bending and an additi…
Magnetic fields and boundary conditions in spectral and asymptotic analysis
Nicolas Popoff
This memoir is devoted to a part of the results from the author about two topics: in the first part, the asymptotics of the low-lying eigenvalues of Schrödinger operators in domain…
Plummeting and blinking eigenvalues of the Robin Laplacian in a cuspidal domain
Sergei A. Nazarov, Nicolas Popoff, Jari Taskinen
We consider the Robin Laplacian in the domains and , , with sharp and blunted cusps, respectively. Assuming that the Robin coefficient is lar…
Band functions of Iwatsuka models : power-like and flat magnetic fields
Nicolas Popoff, Pablo Miranda
In this note we consider the Iwatsuka model with a postive increasing magnetic field having finite limits. The associated magnetic Laplacian is fibred through partial Fourier trans…
Low-lying eigenvalues of semiclassical Schrödinger operator with degenerate wells
Jean-Francois Bony, Nicolas Popoff
In this article, we consider the semiclassical Schrödinger operator in with confining non-negative potential which vanishes, and study its l…
Self-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition
Sergei A. Nazarov, Nicolas Popoff
We study the Laplacian in a smooth bounded domain, with a varying Robin boundary condition singular at one point. The associated quadratic form is not semi-bounded from below, and…