On Tricomi Problem of Chaplygin’s Hodograph Equation

The existence and uniqueness results for the Tricomi problem of Chaplygin’s hodograph equation are shown, in the case that the domain considered is close to the parabolic degenerate line, by adopting the energy integral methods and choosing judiciously suitable multipliers.

Bibliographic Details
Main Authors:	Meng Xu, Li Liu, Hairong Yuan
Format:	Article
Language:	English
Published:	Hindawi Limited 2015-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2015/754781

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spelling	doaj-b6ba97c680764649993ccfd421448d322020-11-24T21:44:37ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/754781754781On Tricomi Problem of Chaplygin’s Hodograph EquationMeng Xu0Li Liu1Hairong Yuan2Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, ChinaShanghai University of International Business and Economics, Shanghai 201620, ChinaDepartment of Mathematics, Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, East China Normal University, Shanghai 200241, ChinaThe existence and uniqueness results for the Tricomi problem of Chaplygin’s hodograph equation are shown, in the case that the domain considered is close to the parabolic degenerate line, by adopting the energy integral methods and choosing judiciously suitable multipliers.http://dx.doi.org/10.1155/2015/754781
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Meng Xu Li Liu Hairong Yuan
spellingShingle	Meng Xu Li Liu Hairong Yuan On Tricomi Problem of Chaplygin’s Hodograph Equation Abstract and Applied Analysis
author_facet	Meng Xu Li Liu Hairong Yuan
author_sort	Meng Xu
title	On Tricomi Problem of Chaplygin’s Hodograph Equation
title_short	On Tricomi Problem of Chaplygin’s Hodograph Equation
title_full	On Tricomi Problem of Chaplygin’s Hodograph Equation
title_fullStr	On Tricomi Problem of Chaplygin’s Hodograph Equation
title_full_unstemmed	On Tricomi Problem of Chaplygin’s Hodograph Equation
title_sort	on tricomi problem of chaplygin’s hodograph equation
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2015-01-01
description	The existence and uniqueness results for the Tricomi problem of Chaplygin’s hodograph equation are shown, in the case that the domain considered is close to the parabolic degenerate line, by adopting the energy integral methods and choosing judiciously suitable multipliers.
url	http://dx.doi.org/10.1155/2015/754781
work_keys_str_mv	AT mengxu ontricomiproblemofchaplyginshodographequation AT liliu ontricomiproblemofchaplyginshodographequation AT hairongyuan ontricomiproblemofchaplyginshodographequation
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On Tricomi Problem of Chaplygin’s Hodograph Equation

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