Spectral analysis of an isotropic stratified elastic strip and applications (Q1591238)

The author performs a spectral analysis of linear elastic strip \(\Omega= \{(x_1,x_2)\); \(x_1\in\mathbb{R}\), \(x_2\in(0,L)\} \subset\mathbb{R}^2\) in the case when density and Lamé coefficients are measurable functions depending only on \(x_2\). A limiting absorption principle and a division theorem for the selfadjoint elasticity operator associated with \(\Omega\) are proven under Dirichlet and free surface conditions on \(x_2=0\) and \(x_2=L\). The results obtained for ``elasticity'' operator are compared with similar results obtained for acoustic operator. The author also examines monotonicity and global symmetry of dispersion curves.