Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions

This paper presents a well-posedness result for an initial-boundary value problem with only integral conditions over the spatial domain for a one-dimensional quasilinear wave equation. The solution and some of its properties are obtained by means of a suitable application of the Rothe time-discretiz...

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Main Authors:	Nabil Merazga, Abdelfatah Bouziani
Format:	Article
Language:	English
Published:	SpringerOpen 2004-07-01
Series:	Advances in Difference Equations
Online Access:	http://dx.doi.org/10.1155/S1687183904401071

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spelling	doaj-f95c34521e8448e280c711299fe2abdc2020-11-24T23:15:39ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472004-07-012004321123510.1155/S1687183904401071Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditionsNabil MerazgaAbdelfatah BouzianiThis paper presents a well-posedness result for an initial-boundary value problem with only integral conditions over the spatial domain for a one-dimensional quasilinear wave equation. The solution and some of its properties are obtained by means of a suitable application of the Rothe time-discretization method.http://dx.doi.org/10.1155/S1687183904401071
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nabil Merazga Abdelfatah Bouziani
spellingShingle	Nabil Merazga Abdelfatah Bouziani Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions Advances in Difference Equations
author_facet	Nabil Merazga Abdelfatah Bouziani
author_sort	Nabil Merazga
title	Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
title_short	Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
title_full	Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
title_fullStr	Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
title_full_unstemmed	Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
title_sort	rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1839 1687-1847
publishDate	2004-07-01
description	This paper presents a well-posedness result for an initial-boundary value problem with only integral conditions over the spatial domain for a one-dimensional quasilinear wave equation. The solution and some of its properties are obtained by means of a suitable application of the Rothe time-discretization method.
url	http://dx.doi.org/10.1155/S1687183904401071
work_keys_str_mv	AT nabilmerazga rothetimediscretizationmethodappliedtoaquasilinearwaveequationsubjecttointegralconditions AT abdelfatahbouziani rothetimediscretizationmethodappliedtoaquasilinearwaveequationsubjecttointegralconditions
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Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions

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