@article{10902/18156,
year = {2019},
month = {10},
url = {http://hdl.handle.net/10902/18156},
abstract = {We address a spectral problem for the Dirichlet-Laplace operator in a waveguideis obtained from repsilon an unbounded two-dimensional strip ?? which is periodically perforated by a family of holes, which are also periodically distributed along a line, the so-called "perforation string". We assume that the two periods are different, namely, O(1)O(1) and O(?)O(?) respectively, where 0<??10<??1. We look at the band-gap structure of the spectrum  . We derive asymptotic formulas for the endpoints of the spectral bands and show that has a large number of short bands of length ) which alternate with wide gaps of width O(1)O(1).},
publisher = {American Institute of Mathematical Sciences},
publisher = {Networks and Heterogeneous Media
; Volume 14, Issue 4, 1 December 2019, Pages 733-757},
title = {Asymptotic structure of the spectrum in a Dirichlet-strip with double periodic perforations},
author = {Nazarov, Sergei A. and Orive-Illera, Rafael and Pérez Martínez, María Eugenia},
}