The paper addresses the issues of well-posedness of the linear inverse problem for the three-dimensional Chaplygin equation in a prismatic unbounded domain with semi-local boundary conditions. Using ε-regularization methods, a priori estimates, and a sequence of approximations with application of the Fourier transform, we establish the existence and uniqueness of a generalized solution to the problem in some class of integrable functions.
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International Mathematical Schools. Vol. 3. Mathematical Schools in Uzbekistan. In Memory of M. S. Salakhitdinov
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Dzhamalov, S.Z., Ashurov, R. & Kozhanov, A. Linear Inverse Problem for 3-Dimensional Chaplygin Equation with Semi–Nonlocal Boundary Conditions in a Prismatic Unbounded Domain. J Math Sci 274, 186–200 (2023). https://doi.org/10.1007/s10958-023-06588-7
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DOI: https://doi.org/10.1007/s10958-023-06588-7