18 citations · 19 across the 4 of their papers we have counts for
4 papers
On the breathing of spectral bands in periodic quantum waveguides with inflating resonators
Lucas Chesnel, Sergei A. Nazarov
We are interested in the lower part of the spectrum of the Dirichlet Laplacian in a thin waveguide obtained by repeating periodically a pattern, its…
Spectrum of the Dirichlet Laplacian in a thin cubic lattice
Lucas Chesnel, Sergei A. Nazarov
We give a description of the lower part of the spectrum of the Dirichlet Laplacian in an unbounded 3D periodic lattice made of thin bars (of width ) which have a s…
Construction of invisible conductivity perturbations for the point electrode model in electrical impedance tomography
Lucas Chesnel, Nuutti Hyvönen, Stratos Staboulis
We explain how to build invisible isotropic conductivity perturbations of the unit conductivity in the framework of the point electrode model for two-dimensional electrical impedan…
Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Sergei A. Nazarov
We investigate a time harmonic acoustic scattering problem by a penetrable inclusion with compact support embedded in the free space. We consider cases where an observer can produc…