O‘zbekiston matematika jurnali Ҷилди 70 № 1 (2026)
On a coefficient inverse problem with nonlocal boundary conditions of periodic type for the three-dimensional Tricomi equation in a parallelepiped
Dzhamalov, S., Shokirov, A.
Аннотатсия
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
three-dimensional Tricomi equationcoefficient inverse problem with nonlocal boundary conditions of periodic typewell-posednessFourier methods$\varepsilon-$ regularizationa priori estimatessuccessive approximations
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