Linear inverse problem with semi-nonlocal boundary conditions for a three-dimensional equation of the second kind of the fourth order in a parallelepiped

This record presents the author’s version of the article entitled "Linear Inverse Problem for a Three-Dimensional Fourth-Order Mixed-Type Equation of the Second Kind with Semi-Nonlocal Boundary Conditions in a Parallelepiped". The paper investigates the Hadamard well-posedness of a linear inverse problem with semi-nonlocal boundary conditions for a three-dimensional fourth-order mixed-type equation of the second kind in a parallelepiped. The existence and uniqueness of generalized solutions are established in anisotropic Sobolev spaces using the Fourier method, ε-regularization, successive approximations, and a priori estimates. The article has been published in Lobachevskii Journal of Mathematics, 2026, Vol. 47, No. 4, pp. 1495–1507.

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