Boundary stabilization of a linear elastodynamic systems with variable coefficients.
Boundary stabilization of the linear elastodinamic system by a Lyapunov-type method.
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.
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