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The localization for eigenfunctions of the dirichlet problem in thin polyhedra near the vertices. / Nazarov, S.A.

In: Siberian Mathematical Journal, No. 3, 2013, p. 517-532.

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

Harvard

Nazarov, SA 2013, 'The localization for eigenfunctions of the dirichlet problem in thin polyhedra near the vertices', Siberian Mathematical Journal, no. 3, pp. 517-532. https://doi.org/10.1134/S0037446613030166

APA

Nazarov, S. A. (2013). The localization for eigenfunctions of the dirichlet problem in thin polyhedra near the vertices. Siberian Mathematical Journal, (3), 517-532. https://doi.org/10.1134/S0037446613030166

Vancouver

Nazarov SA. The localization for eigenfunctions of the dirichlet problem in thin polyhedra near the vertices. Siberian Mathematical Journal. 2013;(3):517-532. https://doi.org/10.1134/S0037446613030166

Author

Nazarov, S.A. / The localization for eigenfunctions of the dirichlet problem in thin polyhedra near the vertices. In: Siberian Mathematical Journal. 2013 ; No. 3. pp. 517-532.

BibTeX

@article{4a8c49df0321458e950fcf85545fb7b4,
title = "The localization for eigenfunctions of the dirichlet problem in thin polyhedra near the vertices",
abstract = "Under some geometric assumptions, we show that eigenfunctions of the Dirichlet problem for the Laplace operator in an n-dimensional thin polyhedron localize near one of its vertices. We construct and justify asymptotics for the eigenvalues and eigenfunctions. For waveguides, which are thin layers between periodic polyhedral surfaces, we establish the presence of gaps and find asymptotics for their geometric characteristics. {\textcopyright} 2013 Pleiades Publishing, Ltd.",
author = "S.A. Nazarov",
year = "2013",
doi = "10.1134/S0037446613030166",
language = "English",
pages = "517--532",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - The localization for eigenfunctions of the dirichlet problem in thin polyhedra near the vertices

AU - Nazarov, S.A.

PY - 2013

Y1 - 2013

N2 - Under some geometric assumptions, we show that eigenfunctions of the Dirichlet problem for the Laplace operator in an n-dimensional thin polyhedron localize near one of its vertices. We construct and justify asymptotics for the eigenvalues and eigenfunctions. For waveguides, which are thin layers between periodic polyhedral surfaces, we establish the presence of gaps and find asymptotics for their geometric characteristics. © 2013 Pleiades Publishing, Ltd.

AB - Under some geometric assumptions, we show that eigenfunctions of the Dirichlet problem for the Laplace operator in an n-dimensional thin polyhedron localize near one of its vertices. We construct and justify asymptotics for the eigenvalues and eigenfunctions. For waveguides, which are thin layers between periodic polyhedral surfaces, we establish the presence of gaps and find asymptotics for their geometric characteristics. © 2013 Pleiades Publishing, Ltd.

U2 - 10.1134/S0037446613030166

DO - 10.1134/S0037446613030166

M3 - Article

SP - 517

EP - 532

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 7520717