An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption Full article
| Journal |
Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126 |
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| Output data | Year: 2025, Volume: 35, Number: 4, Pages: 305-323 Pages count : 19 DOI: 10.1134/S1055134425040030 | ||||
| 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:
We consider an inverse problem on finding unknown functions $\sigma_0$ and $\sigma_1$ that occur in
the formula $\sigma(x; u2) = \sigma_0 + \sigma_1u2$ 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.
Cite:
Romanov V.G.
, Bugueva T.V.
An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption
Siberian Advances in Mathematics. 2025. V.35. N4. P.305-323. DOI: 10.1134/S1055134425040030 Scopus OpenAlex
An Inverse Problem for Electrodynamics Equation with Nonlinear Quadratic Absorption
Siberian Advances in Mathematics. 2025. V.35. N4. P.305-323. DOI: 10.1134/S1055134425040030 Scopus OpenAlex
Original:
Романов В.Г.
, Бугуева Т.В.
Обратная задача для уравнения электродинамики с нелинейным квадратичным поглощением
Математические труды. 2025. Т.28. №3. С.63-94. DOI: 10.25205/1560-750X-2025-28-3-63-94 OpenAlex
Обратная задача для уравнения электродинамики с нелинейным квадратичным поглощением
Математические труды. 2025. Т.28. №3. С.63-94. DOI: 10.25205/1560-750X-2025-28-3-63-94 OpenAlex
Dates:
| Submitted: | Jun 20, 2025 |
| Accepted: | Sep 16, 2025 |
| Published print: | Sep 24, 2025 |
| Published online: | Dec 22, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105025426767 |
| OpenAlex: | W7116757417 |
Citing:
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