(1) Department of Mathematics, Henan University, Kaifeng, 475001, P. R. China;(2) National Laboratory for Scientific Computation (LNCC), Rua Getulio Vargas 333, Quitandinha, 25651-070 Petrópolis-RJ, Brazil
Abstract:
This paper is concerned with the large-time behaviour of energy for the n-dimensional nonhomogeneous and anisotropic elastic system with a locally reacting boundary subject to small oscillations. Under reasonable assumptions, the polynomial decay for the energy of such a model has been established. Multiplicative techniques and the energy method are used.