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Bull. Korean Math. Soc. 2006; 43(2): 245-252
Printed June 1, 2006
Copyright © The Korean Mathematical Society.
Energy decay estimates for a Kirchhoff model with viscosity
Il Hyo Jung and Jongsool Choi
Pusan National University, Korea Science Academy
In this paper we study the uniform decay estimates of the energy for the nonlinear wave equation of Kirchhoff type \begin{equation*} y''(t) - M(|\str y(t)|^2)\tr y(t) + \delta y'(t) = f(t) \end{equation*} with the damping constant $\delta >0$ in a bounded domain $\Omega \subset {\Bbb R}^n$.
Keywords: stabilization, quasilinear hyperbolic equation, Kirchhoff equation, asymptotic behavior, energy decay
MSC numbers: 35B35, 35B40, 35L70
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