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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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

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spelling	doaj-f5adf276a2e24072a51a843ba4be57e62020-11-24T22:46:05ZengKamGU by Vitus BeringVestnik KRAUNC: Fiziko-Matematičeskie Nauki2079-66412079-665X2018-04-011(21)62010.18454/2079-6641-2018-21-1-6-20ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTIONYu.P. Apakov0Namangan Engineering and Construction Institute, 160103, Uzbekistan, Namangan, I. Karimov str, 12Three-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.http://krasec.ru/wp-content/uploads/2018/04/Apakov.pdfTricomi problemparabolic-hyperbolic equationnon-characteristic planeFourier transformmaximum principleapriori estimateuniquenessexistence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yu.P. Apakov
spellingShingle	Yu.P. Apakov ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION Vestnik KRAUNC: Fiziko-Matematičeskie Nauki Tricomi problem parabolic-hyperbolic equation non-characteristic plane Fourier transform maximum principle apriori estimate uniqueness existence
author_facet	Yu.P. Apakov
author_sort	Yu.P. Apakov
title	ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION
title_short	ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION
title_full	ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION
title_fullStr	ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION
title_full_unstemmed	ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION
title_sort	about three-dimensional analogue of the problem of tricomi with parallel planes of extinction
publisher	KamGU by Vitus Bering
series	Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
issn	2079-6641 2079-665X
publishDate	2018-04-01
description	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.
topic	Tricomi problem parabolic-hyperbolic equation non-characteristic plane Fourier transform maximum principle apriori estimate uniqueness existence
url	http://krasec.ru/wp-content/uploads/2018/04/Apakov.pdf
work_keys_str_mv	AT yupapakov aboutthreedimensionalanalogueoftheproblemoftricomiwithparallelplanesofextinction
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ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION

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