A nonlinear transmission problem with time dependent coefficients

A nonlinear transmission problem with time dependent coefficients

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In this article, we consider a nonlinear transmission problem for the wave equation with time dependent coefficients and linear internal damping. We prove the existence of a global solution and its exponential decay. The result is achieved by using the multiplier technique and suitable unique contin...

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Bibliographic Details
Main Authors: Jaime E. Munoz Rivera, Eugenio Cabanillas Lapa
Format: Article
Language:English
Published: Texas State University 2007-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Transmission problem
time dependent coefficients
stability
Online Access:http://ejde.math.txstate.edu/Volumes/2007/131/abstr.html
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spelling doaj-bb34c1f19c1b450ead6d76aa79ada1a92020-11-24T21:25:03ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-10-012007131113A nonlinear transmission problem with time dependent coefficientsJaime E. Munoz RiveraEugenio Cabanillas LapaIn this article, we consider a nonlinear transmission problem for the wave equation with time dependent coefficients and linear internal damping. We prove the existence of a global solution and its exponential decay. The result is achieved by using the multiplier technique and suitable unique continuation theorem for the wave equation.http://ejde.math.txstate.edu/Volumes/2007/131/abstr.htmlTransmission problemtime dependent coefficientsstability
collection DOAJ
language English
format Article
sources DOAJ
author Jaime E. Munoz Rivera
Eugenio Cabanillas Lapa
spellingShingle Jaime E. Munoz Rivera
Eugenio Cabanillas Lapa
A nonlinear transmission problem with time dependent coefficients
Electronic Journal of Differential Equations
Transmission problem
time dependent coefficients
stability
author_facet Jaime E. Munoz Rivera
Eugenio Cabanillas Lapa
author_sort Jaime E. Munoz Rivera
title A nonlinear transmission problem with time dependent coefficients
title_short A nonlinear transmission problem with time dependent coefficients
title_full A nonlinear transmission problem with time dependent coefficients
title_fullStr A nonlinear transmission problem with time dependent coefficients
title_full_unstemmed A nonlinear transmission problem with time dependent coefficients
title_sort nonlinear transmission problem with time dependent coefficients
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2007-10-01
description In this article, we consider a nonlinear transmission problem for the wave equation with time dependent coefficients and linear internal damping. We prove the existence of a global solution and its exponential decay. The result is achieved by using the multiplier technique and suitable unique continuation theorem for the wave equation.
topic Transmission problem
time dependent coefficients
stability
url http://ejde.math.txstate.edu/Volumes/2007/131/abstr.html
work_keys_str_mv AT jaimeemunozrivera anonlineartransmissionproblemwithtimedependentcoefficients
AT eugeniocabanillaslapa anonlineartransmissionproblemwithtimedependentcoefficients
AT jaimeemunozrivera nonlineartransmissionproblemwithtimedependentcoefficients
AT eugeniocabanillaslapa nonlineartransmissionproblemwithtimedependentcoefficients
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