11 citations · 11 across the 2 of their papers we have counts for
4 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…
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…
Resonances near Thresholds in slightly Twisted Waveguides
Vincent Bruneau, Pablo Miranda, Nicolas Popoff
We consider the Dirichlet Laplacian in a straight three dimensional waveguide with non-rotationally invariant cross section, perturbed by a twisting of small amplitude. It is well…