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The exponential stability of the problem of transmission of the wave equation

Published online by Cambridge University Press:  17 April 2009

Weijiu Liu  and
Graham Williams
Weijiu Liu
Affiliation:
School of Mathematics and Applied StatisticsUniversity of WollongongNorthfields AveWollongong NSW 2522Australia e-mail: w.liu@uow.edu.aughw@uow.edu.au
Graham Williams
Affiliation:
School of Mathematics and Applied StatisticsUniversity of WollongongNorthfields AveWollongong NSW 2522Australia e-mail: w.liu@uow.edu.aughw@uow.edu.au
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Abstract

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The problem of exponential stability of the problem of transmission of the wave equation with lower-order terms is considered. Making use of the classical energy method and multiplier technique, we prove that this problem of transmission is exponentially stable.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 2 , April 1998 , pp. 305 - 327
Copyright
Copyright © Australian Mathematical Society 1998

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