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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★ 1 cited
Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide
Delfina Gómez, Sergei A. Nazarov, Rafael Orive-Illera +1
In this paper, we provide uniform bounds for convergence rates of the low frequencies of a parametric family of problems for the Laplace operator posed on a rectangular perforated…