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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 изданиях › статья
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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