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Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable. / Filonov, N.

In: St. Petersburg Mathematical Journal, Vol. 30, No. 3, 01.01.2019, p. 545-572.

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

Harvard

Filonov, N 2019, 'Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable', St. Petersburg Mathematical Journal, vol. 30, no. 3, pp. 545-572. https://doi.org/10.1090/spmj/1558

APA

Filonov, N. (2019). Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable. St. Petersburg Mathematical Journal, 30(3), 545-572. https://doi.org/10.1090/spmj/1558

Vancouver

Filonov N. Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable. St. Petersburg Mathematical Journal. 2019 Jan 1;30(3):545-572. https://doi.org/10.1090/spmj/1558

Author

Filonov, N. / Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable. In: St. Petersburg Mathematical Journal. 2019 ; Vol. 30, No. 3. pp. 545-572.

BibTeX

@article{9d171441c87d4ec69cfcc4cd7f4118cc,
title = "Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable",
abstract = "The Maxwell operator in a 3-dimensional cylinder with Lipschitz crosssection is considered. The coefficients are assumed to be independent of the longitudinal variable. The spectrum of the operator is shown to be absolutely continuous. If the cross-section of the cylinder is multiply connected, then the spectrum fills the real axes. If the cross-section is simply connected, then the spectrum has one gap centered at the origin.",
keywords = "Absolute continuity of the spectrum, Maxwell operator in a cylinder, Spectral gap",
author = "N. Filonov",
year = "2019",
month = jan,
day = "1",
doi = "10.1090/spmj/1558",
language = "English",
volume = "30",
pages = "545--572",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable

AU - Filonov, N.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The Maxwell operator in a 3-dimensional cylinder with Lipschitz crosssection is considered. The coefficients are assumed to be independent of the longitudinal variable. The spectrum of the operator is shown to be absolutely continuous. If the cross-section of the cylinder is multiply connected, then the spectrum fills the real axes. If the cross-section is simply connected, then the spectrum has one gap centered at the origin.

AB - The Maxwell operator in a 3-dimensional cylinder with Lipschitz crosssection is considered. The coefficients are assumed to be independent of the longitudinal variable. The spectrum of the operator is shown to be absolutely continuous. If the cross-section of the cylinder is multiply connected, then the spectrum fills the real axes. If the cross-section is simply connected, then the spectrum has one gap centered at the origin.

KW - Absolute continuity of the spectrum

KW - Maxwell operator in a cylinder

KW - Spectral gap

UR - http://www.scopus.com/inward/record.url?scp=85064759193&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=38676176

UR - https://www.ams.org/journals/spmj/2019-30-03/home.html

U2 - 10.1090/spmj/1558

DO - 10.1090/spmj/1558

M3 - Article

AN - SCOPUS:85064759193

VL - 30

SP - 545

EP - 572

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 3

ER -

ID: 50940712