Linear Inverse Problem for 3-Dimensional Chaplygin Equation with Semi–Nonlocal Boundary Conditions in a Prismatic Unbounded Domain

Linear Inverse Problem for 3-Dimensional Chaplygin Equation with Semi–Nonlocal Boundary Conditions in a Prismatic Unbounded Domain

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 th...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-08, Vol.274 (2), p.186-200
Hauptverfasser: Dzhamalov, Sirojiddin Z., Ashurov, Ravshan, Kozhanov, Alexandr
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Chaplygin equation
Fourier transforms
Inverse problems
Mathematics
Mathematics and Statistics
Regularization
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06588-7