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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.

MSC:

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