Geodesic
Boundary stabilization of a linear elastodynamic systems with variable coefficients
Electronic journal of differential equations, Tome 2001 (2001)
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].
Classification : 93B03, 93B05, 93D15
Keywords: elastodynamic system, elasticity, boundary stabilization, feedback 
@article{EJDE_2001__2001__a108,
     author = {Bey,  Rabah and Heminna,  Amar and Loh\'eac,  Jean-Pierre},
     title = {Boundary stabilization of a linear elastodynamic systems with variable coefficients},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {1030.93031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a108/}
}
TY  - JOUR
AU  - Bey,  Rabah
AU  - Heminna,  Amar
AU  - Lohéac,  Jean-Pierre
TI  - Boundary stabilization of a linear elastodynamic systems with variable coefficients
JO  - Electronic journal of differential equations
PY  - 2001
VL  - 2001
UR  - http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a108/
LA  - en
ID  - EJDE_2001__2001__a108
ER  - 
%0 Journal Article
%A Bey,  Rabah
%A Heminna,  Amar
%A Lohéac,  Jean-Pierre
%T Boundary stabilization of a linear elastodynamic systems with variable coefficients
%J Electronic journal of differential equations
%D 2001
%V 2001
%U http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a108/
%G en
%F EJDE_2001__2001__a108
Bey,  Rabah; Heminna,  Amar; Lohéac,  Jean-Pierre. Boundary stabilization of a linear elastodynamic systems with variable coefficients. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a108/