37 citations · 137 across the 29 of their papers we have counts for
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math.AP2023
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…
math.AP2023
Generalized impedance boundary conditions with vanishing or sign-changing impedance
Lucas Chesnel, Laurent Bourgeois
We consider a Laplace type problem with a generalized impedance boundary condition of the form on a flat part of the boundary. Here …
math.AP2023★ 1 cited
Maxwell's equations with hypersingularities at a negative index material conical tip
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Mahran Rihani
We study a transmission problem for the time harmonic Maxwell's equations between a classical positive material and a so-called negative index material in which both the permittivi…