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The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium. / Порецкий, Александр Сергеевич; Пламеневский, Борис Алексеевич.

In: St. Petersburg Mathematical Journal, Vol. 34, No. 4, 26.07.2023, p. 635-693.

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

Harvard

Порецкий, АС & Пламеневский, БА 2023, 'The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium', St. Petersburg Mathematical Journal, vol. 34, no. 4, pp. 635-693. https://doi.org/10.1090/spmj/1773

APA

Порецкий, А. С., & Пламеневский, Б. А. (2023). The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium. St. Petersburg Mathematical Journal, 34(4), 635-693. https://doi.org/10.1090/spmj/1773

Vancouver

Порецкий АС, Пламеневский БА. The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium. St. Petersburg Mathematical Journal. 2023 Jul 26;34(4):635-693. https://doi.org/10.1090/spmj/1773

Author

Порецкий, Александр Сергеевич ; Пламеневский, Борис Алексеевич. / The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium. In: St. Petersburg Mathematical Journal. 2023 ; Vol. 34, No. 4. pp. 635-693.

BibTeX

@article{5623cc0e624a4ea9b917f804ffc444a2,
title = "The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium",
abstract = "In a domain having several cylindrical outlets to infinity, the stationary Maxwell system with perfectly conductive boundary conditions is studied. The dielectric permittivity and magnetic permeability are assumed to be arbitrary positive definite matrix-valued functions that slowly stabilize at infinity. The authors introduce the scattering matrix, establish the unique solvability of the problem with radiation conditions at infinity, and describe the asymptotics of solutions.",
author = "Порецкий, {Александр Сергеевич} and Пламеневский, {Борис Алексеевич}",
year = "2023",
month = jul,
day = "26",
doi = "10.1090/spmj/1773",
language = "English",
volume = "34",
pages = "635--693",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "4",

}

RIS

TY - JOUR

T1 - The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium

AU - Порецкий, Александр Сергеевич

AU - Пламеневский, Борис Алексеевич

PY - 2023/7/26

Y1 - 2023/7/26

N2 - In a domain having several cylindrical outlets to infinity, the stationary Maxwell system with perfectly conductive boundary conditions is studied. The dielectric permittivity and magnetic permeability are assumed to be arbitrary positive definite matrix-valued functions that slowly stabilize at infinity. The authors introduce the scattering matrix, establish the unique solvability of the problem with radiation conditions at infinity, and describe the asymptotics of solutions.

AB - In a domain having several cylindrical outlets to infinity, the stationary Maxwell system with perfectly conductive boundary conditions is studied. The dielectric permittivity and magnetic permeability are assumed to be arbitrary positive definite matrix-valued functions that slowly stabilize at infinity. The authors introduce the scattering matrix, establish the unique solvability of the problem with radiation conditions at infinity, and describe the asymptotics of solutions.

UR - https://www.mendeley.com/catalogue/1110489f-a19b-360c-95be-2eeb38a0ccce/

U2 - 10.1090/spmj/1773

DO - 10.1090/spmj/1773

M3 - Article

VL - 34

SP - 635

EP - 693

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 4

ER -

ID: 114539990