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Problem of Determining the Anisotropic Conductivity in Electrodynamic Equations. / Romanov, V. G.

In: Doklady Mathematics, Vol. 103, No. 1, 11, 01.2021, p. 44-46.

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

Harvard

Romanov, VG 2021, 'Problem of Determining the Anisotropic Conductivity in Electrodynamic Equations', Doklady Mathematics, vol. 103, no. 1, 11, pp. 44-46. https://doi.org/10.1134/S1064562421010099

APA

Romanov, V. G. (2021). Problem of Determining the Anisotropic Conductivity in Electrodynamic Equations. Doklady Mathematics, 103(1), 44-46. [11]. https://doi.org/10.1134/S1064562421010099

Vancouver

Romanov VG. Problem of Determining the Anisotropic Conductivity in Electrodynamic Equations. Doklady Mathematics. 2021 Jan;103(1):44-46. 11. doi: 10.1134/S1064562421010099

Author

Romanov, V. G. / Problem of Determining the Anisotropic Conductivity in Electrodynamic Equations. In: Doklady Mathematics. 2021 ; Vol. 103, No. 1. pp. 44-46.

BibTeX

@article{2429513fedf549238911adafd1315fea,
title = "Problem of Determining the Anisotropic Conductivity in Electrodynamic Equations",
abstract = "For a system of electrodynamic equations, the inverse problem of determining an anisotropic conductivity is considered. It is supposed that the conductivity is described by a diagonal matrix (Formula presented.) outside of the domain (Formula presented.), and the permittivity ε and the permeability μ of the medium are positive constants everywhere in (Formula presented.). Plane waves coming from infinity and impinging on an inhomogeneity localized in Ω are considered. For the determination of the unknown functions (Formula presented.), and (Formula presented.), information related to the vector of electric intensity is given on the boundary S of the domain Ω. It is shown that this information reduces the inverse problem to three identical problems of X-ray tomography.",
keywords = "anisotropy, conductivity, inverse problem, Maxwell equations, plane waves, tomography",
author = "Romanov, {V. G.}",
note = "Funding Information: This work was supported by the Mathematical Center in Akademgorodok at Novosibirsk State University (contract no. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation). Publisher Copyright: {\textcopyright} 2021, The Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = jan,
doi = "10.1134/S1064562421010099",
language = "English",
volume = "103",
pages = "44--46",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Problem of Determining the Anisotropic Conductivity in Electrodynamic Equations

AU - Romanov, V. G.

N1 - Funding Information: This work was supported by the Mathematical Center in Akademgorodok at Novosibirsk State University (contract no. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation). Publisher Copyright: © 2021, The Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/1

Y1 - 2021/1

N2 - For a system of electrodynamic equations, the inverse problem of determining an anisotropic conductivity is considered. It is supposed that the conductivity is described by a diagonal matrix (Formula presented.) outside of the domain (Formula presented.), and the permittivity ε and the permeability μ of the medium are positive constants everywhere in (Formula presented.). Plane waves coming from infinity and impinging on an inhomogeneity localized in Ω are considered. For the determination of the unknown functions (Formula presented.), and (Formula presented.), information related to the vector of electric intensity is given on the boundary S of the domain Ω. It is shown that this information reduces the inverse problem to three identical problems of X-ray tomography.

AB - For a system of electrodynamic equations, the inverse problem of determining an anisotropic conductivity is considered. It is supposed that the conductivity is described by a diagonal matrix (Formula presented.) outside of the domain (Formula presented.), and the permittivity ε and the permeability μ of the medium are positive constants everywhere in (Formula presented.). Plane waves coming from infinity and impinging on an inhomogeneity localized in Ω are considered. For the determination of the unknown functions (Formula presented.), and (Formula presented.), information related to the vector of electric intensity is given on the boundary S of the domain Ω. It is shown that this information reduces the inverse problem to three identical problems of X-ray tomography.

KW - anisotropy

KW - conductivity

KW - inverse problem

KW - Maxwell equations

KW - plane waves

KW - tomography

UR - http://www.scopus.com/inward/record.url?scp=85105099074&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=46074319

U2 - 10.1134/S1064562421010099

DO - 10.1134/S1064562421010099

M3 - Article

AN - SCOPUS:85105099074

VL - 103

SP - 44

EP - 46

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 1

M1 - 11

ER -

ID: 28572606