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Nonlinear Inverse Problems for First Order Hyperbolic Equations. / Kozhanov, Alexandr; Zhalgassova, Korkem A.

In: Journal of Mathematical Sciences (United States), Vol. 281, No. 6, 06.2024, p. 857-867.

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

Harvard

Kozhanov, A & Zhalgassova, KA 2024, 'Nonlinear Inverse Problems for First Order Hyperbolic Equations', Journal of Mathematical Sciences (United States), vol. 281, no. 6, pp. 857-867. https://doi.org/10.1007/s10958-024-07155-4

APA

Kozhanov, A., & Zhalgassova, K. A. (2024). Nonlinear Inverse Problems for First Order Hyperbolic Equations. Journal of Mathematical Sciences (United States), 281(6), 857-867. https://doi.org/10.1007/s10958-024-07155-4

Vancouver

Kozhanov A, Zhalgassova KA. Nonlinear Inverse Problems for First Order Hyperbolic Equations. Journal of Mathematical Sciences (United States). 2024 Jun;281(6):857-867. doi: 10.1007/s10958-024-07155-4

Author

Kozhanov, Alexandr ; Zhalgassova, Korkem A. / Nonlinear Inverse Problems for First Order Hyperbolic Equations. In: Journal of Mathematical Sciences (United States). 2024 ; Vol. 281, No. 6. pp. 857-867.

BibTeX

@article{7b523f92f01b4b73bf68fb6095e31775,
title = "Nonlinear Inverse Problems for First Order Hyperbolic Equations",
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.",
author = "Alexandr Kozhanov and Zhalgassova, {Korkem A.}",
year = "2024",
month = jun,
doi = "10.1007/s10958-024-07155-4",
language = "English",
volume = "281",
pages = "857--867",
journal = "Journal of Mathematical Sciences (United States)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Nonlinear Inverse Problems for First Order Hyperbolic Equations

AU - Kozhanov, Alexandr

AU - Zhalgassova, Korkem A.

PY - 2024/6

Y1 - 2024/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85194540742&origin=inward&txGid=d0cfd069e0b5a5d796a9cf19ce1d7ba3

UR - https://www.mendeley.com/catalogue/276008da-12c2-3455-9527-7fc2e78d2648/

U2 - 10.1007/s10958-024-07155-4

DO - 10.1007/s10958-024-07155-4

M3 - Article

VL - 281

SP - 857

EP - 867

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 6

ER -

ID: 60875153