Boundary stabilization of the linear elastodynamic system by a Lyapunov-type method

• Autores: Jean-Pierre Lohéac, Babah Bey, Amar Heminna
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 16, Nº 2, 2003, págs. 417-441
• Idioma: inglés
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• Resumen

  • 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.