East Asian mathematical journal

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

  • Kang, Yong Han (Institute of Liberal Education, Catholic University of Daegu)
  • Received : 2016.02.23
  • Accepted : 2016.03.17
  • Published : 2016.05.31
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Abstract

In this paper, we study exponential stabilization of the vibrations of the Kelvin-Voigt 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 internal material damping in the model as like Kang [3]. Energy decay rate are obtained by the exponential stability of solutions by using multiplier technique.

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References

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