Inverse Elastic Scattering from a Cavity in Homogeneous Medium

Abstract

The paper discusses direct and inverse elastic scattering from a cavity in a homogeneous medium with both Dirichlet and Neumann boundary conditions. Regarding direct scattering, the existence and uniqueness are derived using a variational approach. In the case of inverse scattering, the Fréchet derivatives of the solution operators are investigated, which provides a local stability for the Dirichlet condition.

Keywords

Elastic cavity / Variational formulation / The Navier equation / Existence / Uniqueness / 35P25 / 35A15 / 35R30

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