Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain

We study initial boundary-value problems for hyperbolic systems of divergence form of arbitrary order in cylinders whose base is a cusp domain. Our main results are to prove the existence, uniqueness and the smoothness with respect to time variable of generalized solutions of these problems b...

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Main Authors:	Vu Trong Luong, Nguyen Manh Hung
Format:	Article
Language:	English
Published:	Texas State University 2008-10-01
Series:	Electronic Journal of Differential Equations
Subjects:	Initial boundary-value problems hyperbolic systems Cusp domain approximating boundary method generalized solution existence uniqueness smoothness
Online Access:	http://ejde.math.txstate.edu/Volumes/2008/138/abstr.html

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spelling	doaj-d15048b4715b4825a3c2b3107f09e4632020-11-25T01:23:54ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-10-012008138,110Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domainVu Trong LuongNguyen Manh HungWe study initial boundary-value problems for hyperbolic systems of divergence form of arbitrary order in cylinders whose base is a cusp domain. Our main results are to prove the existence, uniqueness and the smoothness with respect to time variable of generalized solutions of these problems by using the method which we will denote as "approximating boundary method".http://ejde.math.txstate.edu/Volumes/2008/138/abstr.htmlInitial boundary-value problemshyperbolic systemsCusp domainapproximating boundary methodgeneralized solutionexistenceuniquenesssmoothness
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Vu Trong Luong Nguyen Manh Hung
spellingShingle	Vu Trong Luong Nguyen Manh Hung Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain Electronic Journal of Differential Equations Initial boundary-value problems hyperbolic systems Cusp domain approximating boundary method generalized solution existence uniqueness smoothness
author_facet	Vu Trong Luong Nguyen Manh Hung
author_sort	Vu Trong Luong
title	Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain
title_short	Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain
title_full	Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain
title_fullStr	Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain
title_full_unstemmed	Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain
title_sort	unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2008-10-01
description	We study initial boundary-value problems for hyperbolic systems of divergence form of arbitrary order in cylinders whose base is a cusp domain. Our main results are to prove the existence, uniqueness and the smoothness with respect to time variable of generalized solutions of these problems by using the method which we will denote as "approximating boundary method".
topic	Initial boundary-value problems hyperbolic systems Cusp domain approximating boundary method generalized solution existence uniqueness smoothness
url	http://ejde.math.txstate.edu/Volumes/2008/138/abstr.html
work_keys_str_mv	AT vutrongluong uniquesolvabilityofinitialboundaryvalueproblemsforhyperbolicsystemsincylinderswhosebaseisacuspdomain AT nguyenmanhhung uniquesolvabilityofinitialboundaryvalueproblemsforhyperbolicsystemsincylinderswhosebaseisacuspdomain
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Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain

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