Geodesic
A linear inverse problem for a three-dimensional mixed-type equation of the second kind, second order with semi-nonlocal boundary condition in an unbounded parallelepiped
Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 3, pp. 471-482

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We have investigated the correctness of a linear inverse problem for a three-dimensional second kind, second order mixed-type equation in an unbounded parallelepiped. The existence and uniqueness theorems for a generalized solution to a linear inverse problem for the equation with a semi-nonlocal boundary condition are proved in a certain class of integrable functions. The $\varepsilon$-regularization, a priori estimates, approximation sequences, and Fourier transform methods are applied.
Keywords: mixed-type equation of the second kind second-order, linear inverse problem with a semi-nonlocal boundary condition, well-posedness of problem, $\varepsilon$-regularization, a priori estimates, approximation sequences method, Fourier transform. 
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     author = {S. Z. Djamalov and B. K. Sipatdinova},
     title = {A linear inverse problem for a three-dimensional mixed-type equation of the second kind, second order with semi-nonlocal boundary condition in an unbounded parallelepiped},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_3_a7/}
}
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S. Z. Djamalov; B. K. Sipatdinova. A linear inverse problem for a three-dimensional mixed-type equation of the second kind, second order with semi-nonlocal boundary condition in an unbounded parallelepiped. Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 3, pp. 471-482. http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_3_a7/