Maqola

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

Lobachevskii Journal of Mathematicsjournal2021en

ABI

Annotatsiya

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.

Mavzular

Numerical methods in inverse problems Differential Equations and Boundary Problems Advanced Mathematical Modeling in Engineering

Identifikatorlar

DOI: 10.1134/s1995080222030064

Iqtiboslar va manbalar

5 ta iqtibos 14 ta foydalanilgan manba

Koʻrsatkichlar — AkademScholar · Tez orada