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An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption. / Romanov, V. G.; Bugueva, T. V.

In: Siberian Advances in Mathematics, Vol. 35, No. 4, 22.12.2025, p. 305-322.

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

Harvard

Romanov, VG & Bugueva, TV 2025, 'An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption', Siberian Advances in Mathematics, vol. 35, no. 4, pp. 305-322. <https://link.springer.com/article/10.1134/S1055134425040030#citeas>

APA

Romanov, V. G., & Bugueva, T. V. (2025). An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption. Siberian Advances in Mathematics, 35(4), 305-322. https://link.springer.com/article/10.1134/S1055134425040030#citeas

Vancouver

Romanov VG, Bugueva TV. An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption. Siberian Advances in Mathematics. 2025 Dec 22;35(4):305-322.

Author

Romanov, V. G. ; Bugueva, T. V. / An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption. In: Siberian Advances in Mathematics. 2025 ; Vol. 35, No. 4. pp. 305-322.

BibTeX

@article{2ad13b5f9f1b4bcdac70d58cf125228b,
title = "An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption",
abstract = "We consider an inverse problem on finding unknown functions σ0 and σ1 that occur in the formula σ(x, u2) = σ0 + σ1u2 for the absorption coefficient in electrodynamics equation. We obtain an a priori estimate for a solution to the direct problem and prove existence and uniqueness theorems for solutions to the direct and inverse problems.",
keywords = "nonlinear equation, electrodynamics, inverse problem, local existence",
author = "Romanov, {V. G.} and Bugueva, {T. V.}",
note = "Romanov, V.G., Bugueva, T.V. An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption. Sib. Adv. Math. 35, 305–323 (2025). https://doi.org/10.1134/S1055134425040030 The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0009).",
year = "2025",
month = dec,
day = "22",
language = "English",
volume = "35",
pages = "305--322",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption

AU - Romanov, V. G.

AU - Bugueva, T. V.

N1 - Romanov, V.G., Bugueva, T.V. An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption. Sib. Adv. Math. 35, 305–323 (2025). https://doi.org/10.1134/S1055134425040030 The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0009).

PY - 2025/12/22

Y1 - 2025/12/22

N2 - We consider an inverse problem on finding unknown functions σ0 and σ1 that occur in the formula σ(x, u2) = σ0 + σ1u2 for the absorption coefficient in electrodynamics equation. We obtain an a priori estimate for a solution to the direct problem and prove existence and uniqueness theorems for solutions to the direct and inverse problems.

AB - We consider an inverse problem on finding unknown functions σ0 and σ1 that occur in the formula σ(x, u2) = σ0 + σ1u2 for the absorption coefficient in electrodynamics equation. We obtain an a priori estimate for a solution to the direct problem and prove existence and uniqueness theorems for solutions to the direct and inverse problems.

KW - nonlinear equation

KW - electrodynamics

KW - inverse problem

KW - local existence

UR - https://www.scopus.com/pages/publications/105025426767

M3 - Article

VL - 35

SP - 305

EP - 322

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 4

ER -

ID: 73778396