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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2021 Volume 35, Number 2, Pages 8–16 (Mi vkam470)

This article is cited in 1 paper

MATHEMATICS

On a semi-nonlocal boundary value problem for the three-dimensional Tricomi equation of an unbounded prismatic domain

S. Z. Djamalov, R. R. Ashurov, H. Sh. Turakulov

Institute of Mathematics named after V. I. Romanovskiy, Academy of Sciences of Uzbekistan, Academy of Sciences of Uzbekistan

Abstract: In this article, the methods of «$\epsilon$-regularization» and a priori estimates using the Fourier transform are studied the unique solvability and smoothness of the generalized solution of one semi-nonlocal boundary value problem for the three-dimensional Tricomi equation in an unbounded prismatic domain.

Keywords: Tricomi equation, semi-nonlocal boundary value problem, Fourier transform, «$\epsilon$-regularization» methods and a priori estimates.

UDC: 517.956.6

MSC: Primary 35M10; Secondary 35M20

DOI: 10.26117/2079-6641-2021-35-2-8-16



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© Steklov Math. Inst. of RAS, 2024