On a coefficient inverse problem with nonlocal boundary conditions of periodic type for the three-dimensional Tricomi equation in a parallelepiped

Abstract

This article addresses the well-posedness of a coefficient inverse problem for the three-dimensional Tricomi equation in a parallelepiped. For this problem with nonlocal boundary conditions in anisotropic Sobolev spaces, we prove existence and uniqueness theorems for a regular solution using Fourier methods, $\varepsilon-$ regularization, a priori estimates, successive approximations, and contraction mappings