Showing math.APShow all
2 papers · 1 filter
math.AP2024
An improved spectral inequality for sums of eigenfunctions
Axel Osses, Faouzi Triki
We establish a new spectral inequality for the quantified estimation of the -norm, of a finite linear combination of eigenfunctions in a domain in terms of its -…
math.AP2023
An Open Waveguide with a Thin High Contrast Core Layer: Asymptotic Analysis and Inverse Detection Problem
Eric Bonnetier, Matias Courdurier, Axel Osses +1
We investigate the Helmholtz equation in a two dimensional open waveguide with a thin and high contrast core layer. We develop an asymptotic analysis of the Green function of the p…