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arXiv · 2407.16184

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

Sirojiddin Dzhamalov·Bakhtiyor Khalkhadzhaev
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Abstract

In this article the correctness of al inear inverse problem with semi-nonlocal boundary conditions for a three-dimensional equation in a parallelepiped is considered. The equation itself is a fourth order mixed type equation of the second kind. The existence and uniqueness theorems for a generalized solution of the inverse problem in a certain class of integrable functions are~proved using the methods of Fourier, "$\varepsilon $-regularization", a priori estimates, approximating sequences and contracting mappings.

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Sirojiddin Dzhamalov, Bakhtiyor Khalkhadzhaev. 2024-07-23. A linear inverse problem with semi-nonlocal boundary conditions for a three-dimensional equation of mixed type of the second kind of the fourth order in a parallelepiped. https://arxiv.org/abs/2407.16184

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