We propose a direct approach to obtain the boundary stabilization of the isotropic linear elastodynamic system by a natural feedback; this method uses local coordinates in the expression of boundary integrals as a main tool. It leads to an explicit decay rate of the energy function and requires weak geometrical conditions: for example, the spacial domain can be the difference of two star-shaped sets.
@article{urn:eudml:doc:44506,
title = {Boundary stabilization of the linear elastodinamic system by a Lyapunov-type method.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {16},
year = {2003},
pages = {417-441},
zbl = {1050.93060},
mrnumber = {MR2032926},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44506}
}
Bey, Rabah; Heminna, Amar; Lohéac, Jean-Pierre. Boundary stabilization of the linear elastodinamic system by a Lyapunov-type method.. Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003) pp. 417-441. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44506/