On a Nonlocal Boundary Value Problem for a Three-dimensional Tricomi Equation in a Prismatic Unbounded Domain
Dzhamalov S.Z. Turakulov K.S. Sultanov M.A.
November 2022Pleiades Publishing
Lobachevskii Journal of Mathematics
2022#43Issue 113104 - 3111 pp.
Abstract: In this article, it is proved a theorem on the unique generalized solvability to a nonlocal boundary value problem for the three-dimensional Tricomi equation in a prismatic unbounded domain. The proof of the theorem is based on the Fourier transform, ‘‘ε-regularization’’ methods and a priori estimates.
a priori estimates , Fourier transform , nonlocal boundary value problem , three-dimensional Tricomi equation , well-posedness of the problem , ‘‘ε-regularization’’ method
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Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100174, Uzbekistan
Akfa University, Barkamol MFY, Tashkent, 111221, Uzbekistan
Khoja Akhmet Yassawi International Kazakh–Turkish University, Turkestan, Kazakhstan
Romanovskiy Institute of Mathematics
Akfa University
Khoja Akhmet Yassawi International Kazakh–Turkish University
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