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http://dx.doi.org/10.7858/eamj.2012.28.3.339

ENERGY DECAY RATE FOR THE KIRCHHOFF TYPE WAVE EQUATION WITH ACOUSTIC BOUNDARY  

Kang, Yong-Han (Institute of Liberal Education, Catholic University of Daegu)
Publication Information
East Asian mathematical journal / v.28, no.3, 2012 , pp. 339-345 More about this Journal
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.
Keywords
Kirchhoff type; energy decay; acoustic boundary; stabilization; Lyapunov functional;
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