On a Linear Inverse Problem with Semi-Periodic Boundary Conditions for Three-Dimensional Chaplygin Equation in an Unbounded Parallelepiped

This article considers the well-posedness of one linear inverse problem for the three-dimensional Chaplygin equation in an unbounded parallelepiped. For this problem, the methods of ‘‘ $$\varepsilon$$ -regularization’’, apriori estimates, and successive approximations with the Fourier transform are used to prove the existence and uniqueness theorems of a generalized solution to one linear inverse problem with a semi-periodic boundary condition in an anisotropic Sobolev space.

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