On the control of the wave equation by memory-type boundary condition

Muhammad I. Mustafa

doi:10.3934/dcds.2015.35.1179

Article Contents

2015, Volume 35, Issue 3: 1179-1192. Doi: 10.3934/dcds.2015.35.1179

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On the control of the wave equation by memory-type boundary condition

Muhammad I. Mustafa^1,

1.
King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics, Dhahran 31261

Received: February 28, 2014

Revised: May 31, 2014

Published: February 2015

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Abstract

In this paper we consider a wave equation with a viscoelastic boundary damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a larger class of relaxation functions and generalizes previous results existing in the literature.

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Mathematics Subject Classification: 35B37, 35L55, 74D05, 93D15, 93d20.

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