37 citations · 137 across the 29 of their papers we have counts for
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math.AP2019★ 7 cited
Exact zero transmission during the Fano resonance phenomenon in non symmetric waveguides
Lucas Chesnel, Sergei A. Nazarov
We investigate a time-harmonic wave problem in a waveguide. We work at low frequency so that only one mode can propagate. It is known that the scattering matrix exhibits a rapid va…
math.AP2019
On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates
Laurent Bourgeois, Lucas Chesnel
We are interested in the classical ill-posed Cauchy problem for the Laplace equation. One method to approximate the solution associated with compatible data consists in considering…
math.AP2019★ 8 cited
Inside-outside duality with artificial backgrounds
Lorenzo Audibert, Lucas Chesnel, Houssem Haddar
We use the inside-outside duality approach proposed by Kirsch-Lechleiter to identify transmission eigenvalues associated with artificial backgrounds. We prove that for well chosen…