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Modeling of a singularly perturbed spectral problem by means of self-adjoint extensions of the operators of the limit problems. / Nazarov, S.A.

в: Functional Analysis and its Applications, № 1, 2015, стр. 25-39.

Результаты исследований: Научные публикации в периодических изданияхстатья

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@article{0c3df90ef64e440bb86f6cf601ec5d44,
title = "Modeling of a singularly perturbed spectral problem by means of self-adjoint extensions of the operators of the limit problems",
abstract = "{\textcopyright} 2015, Springer Science+Business Media New York.We use self-adjoint extensions of differential and integral operators to construct an asymptotic model of the Steklov spectral problem describing surface waves over a bank. Estimates of the modeling error are established, and the following unexpected fact is revealed: an appropriate self-adjoint extension of the operators of the limit problems provides an approximation to the eigenvalues not only in the low- and midfrequency ranges of the spectrum but also on part of the high-frequency range.",
author = "S.A. Nazarov",
year = "2015",
doi = "10.1007/s10688-015-0080-5",
language = "English",
pages = "25--39",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Modeling of a singularly perturbed spectral problem by means of self-adjoint extensions of the operators of the limit problems

AU - Nazarov, S.A.

PY - 2015

Y1 - 2015

N2 - © 2015, Springer Science+Business Media New York.We use self-adjoint extensions of differential and integral operators to construct an asymptotic model of the Steklov spectral problem describing surface waves over a bank. Estimates of the modeling error are established, and the following unexpected fact is revealed: an appropriate self-adjoint extension of the operators of the limit problems provides an approximation to the eigenvalues not only in the low- and midfrequency ranges of the spectrum but also on part of the high-frequency range.

AB - © 2015, Springer Science+Business Media New York.We use self-adjoint extensions of differential and integral operators to construct an asymptotic model of the Steklov spectral problem describing surface waves over a bank. Estimates of the modeling error are established, and the following unexpected fact is revealed: an appropriate self-adjoint extension of the operators of the limit problems provides an approximation to the eigenvalues not only in the low- and midfrequency ranges of the spectrum but also on part of the high-frequency range.

U2 - 10.1007/s10688-015-0080-5

DO - 10.1007/s10688-015-0080-5

M3 - Article

SP - 25

EP - 39

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 1

ER -

ID: 4011860