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Spectral properties of a thin layer with a doubly periodic family of thinning regions. / Nazarov, S.A.

в: Theoretical and Mathematical Physics, № 3, 2013, стр. 343-359.

Результаты исследований: Научные публикации в периодических изданияхстатья

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Nazarov, S.A. / Spectral properties of a thin layer with a doubly periodic family of thinning regions. в: Theoretical and Mathematical Physics. 2013 ; № 3. стр. 343-359.

BibTeX

@article{b3c1be98de33492e8b9b9aef0a72ac86,
title = "Spectral properties of a thin layer with a doubly periodic family of thinning regions",
abstract = "We show that the spectrum of the Dirichlet problem for the Laplace operator in a layer with a doubly periodic structure has gaps and determine several characteristics of their location. The result is obtained by asymptotic analysis of a model spectral problem on the periodicity cell. {\textcopyright} 2013 Pleiades Publishing, Ltd.",
author = "S.A. Nazarov",
year = "2013",
doi = "10.1007/s11232-013-0031-3",
language = "English",
pages = "343--359",
journal = "Theoretical and Mathematical Physics",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Spectral properties of a thin layer with a doubly periodic family of thinning regions

AU - Nazarov, S.A.

PY - 2013

Y1 - 2013

N2 - We show that the spectrum of the Dirichlet problem for the Laplace operator in a layer with a doubly periodic structure has gaps and determine several characteristics of their location. The result is obtained by asymptotic analysis of a model spectral problem on the periodicity cell. © 2013 Pleiades Publishing, Ltd.

AB - We show that the spectrum of the Dirichlet problem for the Laplace operator in a layer with a doubly periodic structure has gaps and determine several characteristics of their location. The result is obtained by asymptotic analysis of a model spectral problem on the periodicity cell. © 2013 Pleiades Publishing, Ltd.

U2 - 10.1007/s11232-013-0031-3

DO - 10.1007/s11232-013-0031-3

M3 - Article

SP - 343

EP - 359

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 3

ER -

ID: 7520741