Un nouveau résultat d’existence d’ondes guidées en milieu élastique hétérogène. (A new existence result for guided waves in elastic heterogeneous media). (French) Zbl 0685.73020

Summary: We establish in this note a new result concerning the propagation of elastic waves in a three-dimensional unbounded medium, invariant under translation in one space direction and homogeneous at infinity. We show the existence of guided waves propagating with a velocity strictly greater than the S wave velocity at infinity. Mathematically, these waves correspond to the existence of eigenvalues embedded in its continuous spectrum for some selfadjoint operator.


74J10 Bulk waves in solid mechanics
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces