Nonlinear Inverse Problems for First Order Hyperbolic Equations

Kozhanov A. Zhalgassova K.A.
June 2024 Springer

Journal of Mathematical Sciences (United States)
2024 #281 Issue 6 857 - 867 pp.

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.

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Sobolev Institute of Mathematics SB RAS, 4, Koptyuga pr, Novosibirsk, 630090, Russian Federation
Novosibirsk State University, 1, Pirogova St, Novosibirsk, 630090, Russian Federation
M. Auezov South Kazakhstan University, Shymkent, 160000, Kazakhstan

Sobolev Institute of Mathematics SB RAS
Novosibirsk State University
M. Auezov South Kazakhstan University

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