Article

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

S. Z. DzhamalovRomanovsky Institute of Mathematics of the Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanKh. Sh. TurakulovKokand State University, 150700, Kokand, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2025en

ABI

Abstract

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.

Topics

Differential Equations and Boundary Problems Numerical methods in inverse problems Spectral Theory in Mathematical Physics

Identifiers

DOI: 10.1134/s1995080225609038

Citations and references

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