Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 78, pp. 1-23.

Title: Boundary stabilization of a linear elastodynamic
       system with variable coefficients
   
Authors: Rabah Bey    (Ecully Cedex, France)
         Amar Heminna (Inst. de Math., Alger, Algeria)
         Jean-Pierre Loheac (Ecully Cedex, France)

Abstract:  
  We consider the boundary stabilization of a linear
  elastodynamic system, with variables coefficients,
  by natural feedback.  In [5,7]}, Guesmia  proved the
  boundary stabilization of the linear elastodynamic system,
  with variables coefficients, under restrictive conditions
  on the shape of the domain and on the data of the problem.
  Here, we propose using local coordinates in the boundary
  integrals to obtain stability under conditions that are
  only geometrical and less restrictive than those in [5,7].
  We also extend the boundary stabilization result 
  obtained in [2].


Submitted March 19, 2001. Published December 21, 2001.
Math Subject Classifications: 93B03, 93B05, 93D15.  
Key Words: elastodynamic system; elasticity; boundary stabilization;
           feedback.