The Linear Inverse Problem for the Three-Dimensional Tricomi Equation in a Prismatic Unbounded Domain
С. З. ДжамаловV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanRavshan AshurovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanKh. Sh. TurakulovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, Uzbekistan
ABI
Abstract
In this article the correctness of a linear inverse problem for the three-dimensional Tricomi equation is considered in a prismatic unbounded domain. The existence and uniqueness theorems for a generalized solution to a linear inverse problem with a semi-nonlocal boundary condition are proved in a certain class of integralable functions. The ‘‘ $$\varepsilon$$ -regularization’’, a priori estimates, approximation sequences and Fourier transform methods are applied.