ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION

ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION

Three-dimensional analogue of the problem of Tricomi with non-characteristic parallel planes of change of types of the equation is investigated for a parabolic-hyperbolic equation. The uniqueness of the solution of the problem is proved by the method of a priori estimates, and the existence of the s...

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Bibliographic Details
Main Author: Yu.P. Apakov
Format: Article
Language:English
Published: KamGU by Vitus Bering 2018-04-01
Series:Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Subjects:
Tricomi problem
parabolic-hyperbolic equation
non-characteristic plane
Fourier transform
maximum principle
apriori estimate
uniqueness
existence
Online Access:http://krasec.ru/wp-content/uploads/2018/04/Apakov.pdf
Description
Summary:Three-dimensional analogue of the problem of Tricomi with non-characteristic parallel planes of change of types of the equation is investigated for a parabolic-hyperbolic equation. The uniqueness of the solution of the problem is proved by the method of a priori estimates, and the existence of the solution of the problem is enlightened to the existence of a solution of the system of the second type Voltaire integral equation.
ISSN:2079-6641
2079-665X

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