Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions

<p>Abstract</p> <p>This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder. The main tool us...

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Main Authors: Tahamtani Faramarz, Peyravi Amir
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Boundary Value Problems
Subjects:
Online Access:http://www.boundaryvalueproblems.com/content/2011/1/19
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author Tahamtani Faramarz
Peyravi Amir
author_facet Tahamtani Faramarz
Peyravi Amir
author_sort Tahamtani Faramarz
collection DOAJ
description <p>Abstract</p> <p>This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder. The main tool used is the weighted energy method.</p> <p><b>Mathematics Subject Classification (2010) </b>35B40, 35L05, 35L35</p>
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spelling doaj.art-a31fb3f2eaad4312b8684c9da99643752022-12-21T19:08:13ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-012011119Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditionsTahamtani FaramarzPeyravi Amir<p>Abstract</p> <p>This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder. The main tool used is the weighted energy method.</p> <p><b>Mathematics Subject Classification (2010) </b>35B40, 35L05, 35L35</p>http://www.boundaryvalueproblems.com/content/2011/1/19Hyperbolic equationNonlinear boundary conditionsPhragm&#233;n-Lindel&#246;f type theoremAsymptotic behavior
spellingShingle Tahamtani Faramarz
Peyravi Amir
Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
Boundary Value Problems
Hyperbolic equation
Nonlinear boundary conditions
Phragm&#233;n-Lindel&#246;f type theorem
Asymptotic behavior
title Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
title_full Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
title_fullStr Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
title_full_unstemmed Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
title_short Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
title_sort spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
topic Hyperbolic equation
Nonlinear boundary conditions
Phragm&#233;n-Lindel&#246;f type theorem
Asymptotic behavior
url http://www.boundaryvalueproblems.com/content/2011/1/19
work_keys_str_mv AT tahamtanifaramarz spatialestimatesforaclassofhyperbolicequationswithnonlineardissipativeboundaryconditions
AT peyraviamir spatialestimatesforaclassofhyperbolicequationswithnonlineardissipativeboundaryconditions