TY - JOUR

T1 - Nonlinear Inverse Problems for First Order Hyperbolic Equations

AU - Kozhanov, Alexandr

AU - Zhalgassova, Korkem A.

N1 - The work was carried out within the framework of the state task of Sobolev Institute of Mathematics SB RAS (project FWNF-2022-0008).

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.elibrary.ru/item.asp?id=67770301

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

M1 - 3

ER -