East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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ENERGY DECAY RATE FOR THE KIRCHHOFF TYPE WAVE EQUATION WITH ACOUSTIC BOUNDARY

  • Kang, Yong-Han (Institute of Liberal Education, Catholic University of Daegu)
  • Received : 2012.02.21
  • Accepted : 2012.03.15
  • Published : 2012.05.31
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Abstract

In this paper, we study uniform exponential stabilization of the vibrations of the Kirchho type wave equation with acoustic boundary in a bounded domain in $R^n$. To stabilize the system, we incorporate separately, the passive viscous damping in the model as like Gannesh C. Gorain [1]. Energy decay rate is obtained by the exponential stability of solutions by using multiplier technique.

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References

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  2. ENERGY DECAY RATES FOR THE KIRCHHOFF TYPE WAVE EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND ACOUSTIC BOUNDARY vol.30, pp.3, 2014, https://doi.org/10.7858/eamj.2014.015
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