Nonlinear Inverse Problems for First Order Hyperbolic Equations Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
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| Output data | Year: 2024, Volume: 281, Number: 6, Pages: 857-867 Pages count : 11 DOI: 10.1007/s10958-024-07155-4 | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
We study nonlinear inverse problems for first order hyperbolic equations. We find a solution and an unknown coefficient depending on the time variable. For additional conditions we consider integral and boundary overdetermination conditions. We establish the existence of a regular solution, i.e., the solution possesses all generalized derivatives in the sense of Sobolev entering the equation.
Cite:
Kozhanov A.
, Zhalgassova K.A.
Nonlinear Inverse Problems for First Order Hyperbolic Equations
Journal of Mathematical Sciences (United States). 2024. V.281. N6. P.857-867. DOI: 10.1007/s10958-024-07155-4 Scopus РИНЦ OpenAlex
Nonlinear Inverse Problems for First Order Hyperbolic Equations
Journal of Mathematical Sciences (United States). 2024. V.281. N6. P.857-867. DOI: 10.1007/s10958-024-07155-4 Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 8, 2024 |
| Published print: | May 28, 2024 |
| Published online: | May 28, 2024 |
Identifiers:
| Scopus: | 2-s2.0-85194540742 |
| Elibrary: | 67770301 |
| OpenAlex: | W4399098468 |
Citing:
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