On Initial-Boundary Value Problems for Hyperbolic Equations in Domains with Conical Points

On Initial-Boundary Value Problems for Hyperbolic Equations in Domains with Conical Points

We consider an initial-boundary value problem for general higher-order hyperbolic equation in an infinite cylinder with the base containing conical points on the boundary. We establish several results on the unique solvability, the regularity, and the asymptotic behaviour of the solution near the co...

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Main Authors: Nguyen Manh Hung, Nguyen Thanh Anh
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/801314
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spelling doaj-0fabd4a209a3451399260e0d9858002c2020-11-25T00:59:46ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/801314801314On Initial-Boundary Value Problems for Hyperbolic Equations in Domains with Conical PointsNguyen Manh Hung0Nguyen Thanh Anh1Department of Mathematics, Hanoi National University of Education, No. 136 Xuan Thuy Street, Hanoi, VietnamDepartment of Mathematics, Hanoi National University of Education, No. 136 Xuan Thuy Street, Hanoi, VietnamWe consider an initial-boundary value problem for general higher-order hyperbolic equation in an infinite cylinder with the base containing conical points on the boundary. We establish several results on the unique solvability, the regularity, and the asymptotic behaviour of the solution near the conical points.http://dx.doi.org/10.1155/2013/801314
collection DOAJ
language English
format Article
sources DOAJ
author Nguyen Manh Hung
Nguyen Thanh Anh
spellingShingle Nguyen Manh Hung
Nguyen Thanh Anh
On Initial-Boundary Value Problems for Hyperbolic Equations in Domains with Conical Points
Abstract and Applied Analysis
author_facet Nguyen Manh Hung
Nguyen Thanh Anh
author_sort Nguyen Manh Hung
title On Initial-Boundary Value Problems for Hyperbolic Equations in Domains with Conical Points
title_short On Initial-Boundary Value Problems for Hyperbolic Equations in Domains with Conical Points
title_full On Initial-Boundary Value Problems for Hyperbolic Equations in Domains with Conical Points
title_fullStr On Initial-Boundary Value Problems for Hyperbolic Equations in Domains with Conical Points
title_full_unstemmed On Initial-Boundary Value Problems for Hyperbolic Equations in Domains with Conical Points
title_sort on initial-boundary value problems for hyperbolic equations in domains with conical points
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We consider an initial-boundary value problem for general higher-order hyperbolic equation in an infinite cylinder with the base containing conical points on the boundary. We establish several results on the unique solvability, the regularity, and the asymptotic behaviour of the solution near the conical points.
url http://dx.doi.org/10.1155/2013/801314
work_keys_str_mv AT nguyenmanhhung oninitialboundaryvalueproblemsforhyperbolicequationsindomainswithconicalpoints
AT nguyenthanhanh oninitialboundaryvalueproblemsforhyperbolicequationsindomainswithconicalpoints
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