Article

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

S. Z. DzhamalovRomanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanA. A. ShokirovRomanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2025en

ABI

Abstract

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.

Topics

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

Identifiers

DOI: 10.1134/s1995080225608896

Citations and references

Cited by 03 references

Metrics — AkademScholar · Coming soon