most citedAsymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

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…

math.AP2021

Spectral gaps in a double-periodic perforated Neumann waveguide

Delfina Gómez, Sergei A. Nazarov, Rafael Orive-Illera +1

We examine the band-gap structure of the spectrum of the Neumann problem for the Laplace operator in a strip with periodic dense transversal perforation by identical holes of a sma…