On a Coefficient Inverse Problem with Nonlocal Boundary Conditions for the Three-Dimensional Tricomi Equation in a Parallelepiped

This article considers the questions of correctness of one coefficient inverse problem for the three-dimensional Tricomi equation in a parallelepiped. For this problem, theorems of existence and uniqueness of a regular solution of one coefficient inverse problem with nonlocal boundary conditions in an anisotropic Sobolev space are proved by the methods of Fourier, ‘‘ $$\varepsilon$$ -regularization’’, apriori estimates and successive approximations.

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