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Spectrum of a problem of elasticity theory in the union of several infinite layers. / Назаров, Сергей Александрович.

In: Russian Journal of Mathematical Physics, Vol. 25, No. 1, 71--85, 01.01.2018, p. 73-87.

Research output: Contribution to journal › Article › peer-review

Harvard

Назаров, СА 2018, 'Spectrum of a problem of elasticity theory in the union of several infinite layers', Russian Journal of Mathematical Physics, vol. 25, no. 1, 71--85, pp. 73-87. https://doi.org/10.1134/S1061920818010077

APA

Назаров, С. А. (2018). Spectrum of a problem of elasticity theory in the union of several infinite layers. Russian Journal of Mathematical Physics, 25(1), 73-87. [71--85]. https://doi.org/10.1134/S1061920818010077

Vancouver

Назаров СА. Spectrum of a problem of elasticity theory in the union of several infinite layers. Russian Journal of Mathematical Physics. 2018 Jan 1;25(1):73-87. 71--85. https://doi.org/10.1134/S1061920818010077

Author

Назаров, Сергей Александрович. / Spectrum of a problem of elasticity theory in the union of several infinite layers. In: Russian Journal of Mathematical Physics. 2018 ; Vol. 25, No. 1. pp. 73-87.

BibTeX

@article{36be77b128b4483fa05afc8e9b8c284f,
title = "Spectrum of a problem of elasticity theory in the union of several infinite layers",
abstract = "The essential spectrum of the Dirichlet problem for the system of Lam{\'e} equations in a three-dimensional domain formed by three mutually perpendicular elastic layers occupies the ray [Λ †,+∞). The lower bound Λ † > 0 is the least eigenvalue (its existence is established) of the problem of elasticity theory in an infinite two-dimensional cross-shaped waveguide. It is proved that the discrete spectrum of the spatial problem is nonempty. Other configurations of layers and the scalar problem of the junction of quantum waveguides are also considered. ",
author = "Назаров, {Сергей Александрович}",
note = "Funding Information: The research was financially supported by Russian Science Foundation project 17–11–01003.",
year = "2018",
month = jan,
day = "1",
doi = "10.1134/S1061920818010077",
language = "English",
volume = "25",
pages = "73--87",
journal = "Russian Journal of Mathematical Physics",
issn = "1061-9208",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - Spectrum of a problem of elasticity theory in the union of several infinite layers

AU - Назаров, Сергей Александрович

N1 - Funding Information: The research was financially supported by Russian Science Foundation project 17–11–01003.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The essential spectrum of the Dirichlet problem for the system of Lamé equations in a three-dimensional domain formed by three mutually perpendicular elastic layers occupies the ray [Λ †,+∞). The lower bound Λ † > 0 is the least eigenvalue (its existence is established) of the problem of elasticity theory in an infinite two-dimensional cross-shaped waveguide. It is proved that the discrete spectrum of the spatial problem is nonempty. Other configurations of layers and the scalar problem of the junction of quantum waveguides are also considered.

AB - The essential spectrum of the Dirichlet problem for the system of Lamé equations in a three-dimensional domain formed by three mutually perpendicular elastic layers occupies the ray [Λ †,+∞). The lower bound Λ † > 0 is the least eigenvalue (its existence is established) of the problem of elasticity theory in an infinite two-dimensional cross-shaped waveguide. It is proved that the discrete spectrum of the spatial problem is nonempty. Other configurations of layers and the scalar problem of the junction of quantum waveguides are also considered.

UR - http://www.scopus.com/inward/record.url?scp=85043979209&partnerID=8YFLogxK

U2 - 10.1134/S1061920818010077

DO - 10.1134/S1061920818010077

M3 - Article

VL - 25

SP - 73

EP - 87

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

SN - 1061-9208

IS - 1

M1 - 71--85

ER -

ID: 35201396