East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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ENERGY DECAY RATES FOR THE KIRCHHOFF TYPE WAVE EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND ACOUSTIC BOUNDARY

  • Kang, Yong Han (Institute of Liberal Education, Catholic University of Daegu)
  • Received : 2014.01.16
  • Accepted : 2014.01.22
  • Published : 2014.05.31
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Abstract

In this paper, we study uniform exponential stabilization of the vibrations of the Kirchhoff type wave equation with Balakrishnan-Taylor damping and acoustic boundary in a bounded domain in $R^n$. To stabilize the systems, we incorporate separately, the passive viscous damping in the model as like Kang[14]. Energy decay rates are obtained by the uniform exponential stability of solutions by using multiplier technique.

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Acknowledgement

Supported by : Catholic University of Daegu

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