APM  Vol.1 No.5 , September 2011
Exponential Decay Rate of the Perturbed Energy of the Wave Equation with Zero Order Term
Author(s) Hamchi Ilhem
ABSTRACT
In this paper, we consider the wave equation with zero order term. We use the compactness uniqueness argument and some result of I. Lasiecka and D. Tataru in [4] to prove, directly, the exponential decay rate of the perturbed energy.

Cite this paper
nullH. Ilhem, "Exponential Decay Rate of the Perturbed Energy of the Wave Equation with Zero Order Term," Advances in Pure Mathematics, Vol. 1 No. 5, 2011, pp. 276-279. doi: 10.4236/apm.2011.15049.
References
[1]   S. Feng and X. Feng, “Nonlinear Internal Damping of Wave Equations with Variable Coefficients,” Acta Mathematica Sinica, Vol. 20, No. 6, 2004, pp. 1057-1072. doi:10.1007/s10114-004-0394-3

[2]   Y. Guo and P. F. Yao, “Stabilization of Euler-Bernoulli Plate Equation with Variable Coefficients by Nonlinear Boundary Feedback,” Journal of Mathematical Analysis and Applications, Vol. 317, No. 1, 2006, pp. 50-70. doi:10.1016/j.jmaa.2005.12.006

[3]   V. Komornick and E. Zuazua, “A Direct Method for Boundary Stabilization of the Wave Equation,” Journal de Mathématiques Pures et Appli-quées, Vol. 69, 1990, pp. 33-54.

 
 
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