Localization of Eigenfunctions in a Narrow Kirchhoff Plate

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Localization of Eigenfunctions in a Narrow Kirchhoff Plate. / Бахарев, Федор Львович; Матвеенко, Сергей Георгиевич.

In: Russian Journal of Mathematical Physics, Vol. 28, No. 2, 04.2021, p. 156-178.

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

Author

Бахарев, Федор Львович ; Матвеенко, Сергей Георгиевич. / Localization of Eigenfunctions in a Narrow Kirchhoff Plate. In: Russian Journal of Mathematical Physics. 2021 ; Vol. 28, No. 2. pp. 156-178.

BibTeX

@article{40fd3e4bcf714fc795548333e3d58b89,

title = "Localization of Eigenfunctions in a Narrow Kirchhoff Plate",

abstract = "The asymptotics of eigenvalues and eigenfunctions of the Dirichlet problem for the biharmonic operator in a narrow two-dimensional domain (a thin Kirchhoff plate with rigidly clamped edges) as its width tends to zero is studied. The effect of localization of eigenfunctions is described, which consists in their exponential decay when removing away from the most wide plate region. DOI 10.1134/S1061920821020035",

keywords = "DIRICHLET PROBLEM, LAPLACIAN",

author = "Бахарев, {Федор Львович} and Матвеенко, {Сергей Георгиевич}",

note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = apr,

doi = "10.1134/s1061920821020035",

language = "English",

volume = "28",

pages = "156--178",

journal = "Russian Journal of Mathematical Physics",

issn = "1061-9208",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "2",

}

RIS

TY - JOUR

T1 - Localization of Eigenfunctions in a Narrow Kirchhoff Plate

AU - Бахарев, Федор Львович

AU - Матвеенко, Сергей Георгиевич

PY - 2021/4

Y1 - 2021/4

N2 - The asymptotics of eigenvalues and eigenfunctions of the Dirichlet problem for the biharmonic operator in a narrow two-dimensional domain (a thin Kirchhoff plate with rigidly clamped edges) as its width tends to zero is studied. The effect of localization of eigenfunctions is described, which consists in their exponential decay when removing away from the most wide plate region. DOI 10.1134/S1061920821020035

AB - The asymptotics of eigenvalues and eigenfunctions of the Dirichlet problem for the biharmonic operator in a narrow two-dimensional domain (a thin Kirchhoff plate with rigidly clamped edges) as its width tends to zero is studied. The effect of localization of eigenfunctions is described, which consists in their exponential decay when removing away from the most wide plate region. DOI 10.1134/S1061920821020035

KW - DIRICHLET PROBLEM

KW - LAPLACIAN

UR - http://www.scopus.com/inward/record.url?scp=85108141381&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/d6d6b8eb-be66-3e8a-b4a0-c07fef820ede/

U2 - 10.1134/s1061920821020035

DO - 10.1134/s1061920821020035

M3 - Article

VL - 28

SP - 156

EP - 178

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

SN - 1061-9208

IS - 2

ER -

ID: 77948017