An Inverse Problem for the Equation of Electrodynamics with Nonlinear Absorption Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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| Output data | Year: 2025, Volume: 19, Number: 2, Pages: 322-347 Pages count : 26 DOI: 10.1134/S1990478925020115 | ||||
| Tags | nonlinear equation, electrodynamics, inverse problem, local existence. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
Abstract:
The inverse problem of determining two unknown functions σ0(x) and σ1(x) included
in the absorption coefficient σ(x, u) = σ0(x)+σ1(x)u in the equation of electrodynamics
is considered. An a priori estimate of the solution to the direct problem is obtained, and the
existence and uniqueness theorems of solutions to the direct and inverse problems are proved.
Cite:
Romanov V.G.
, Bugueva T.V.
An Inverse Problem for the Equation of Electrodynamics with Nonlinear Absorption
Journal of Applied and Industrial Mathematics. 2025. V.19. N2. P.322-347. DOI: 10.1134/S1990478925020115
An Inverse Problem for the Equation of Electrodynamics with Nonlinear Absorption
Journal of Applied and Industrial Mathematics. 2025. V.19. N2. P.322-347. DOI: 10.1134/S1990478925020115
Original:
Романов В.Г.
, Бугуева Т.В.
Обратная задача для уравнения электродинамики с нелинейным поглощением
Сибирский журнал индустриальной математики. 2025. Т.28. №2. С.68-95. DOI: 10.33048/SIBJIM.2025.28.205 РИНЦ
Обратная задача для уравнения электродинамики с нелинейным поглощением
Сибирский журнал индустриальной математики. 2025. Т.28. №2. С.68-95. DOI: 10.33048/SIBJIM.2025.28.205 РИНЦ
Dates:
| Submitted: | Mar 7, 2025 |
| Accepted: | Jun 6, 2025 |
| Published online: | Jan 22, 2026 |
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