Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 01, pp. 1-10.

Title: Behavior of the energy for  Lame systems in bounded domains with
       nonlinear damping and external force
        
Authors: Ahmed Bchatnia (Univ. of Tunis El Manar, ,Tunisia)
         Moez Daoulatli (Univ. of Carthage,Bizerte, Tunisia)

Abstract:
  We study behavior of the energy for solutions to a Lame system
  on a bounded domain, with localized nonlinear damping and external force.
  The equation is set up in three dimensions and under a microlocal
  geometric condition.  More precisely, we prove that the behavior
  of the energy is determined  by a solution to a forced differential
  equation, an it depends on the L^2 norm of the force.

Submitted November 8, 2012. Published January 07, 2013
Math Subject Classifications: 35L05, 35B40.
Key Words: Lame system; nonlinear damping; bounded domain; 
           external force