ON THE CONTINUITY DEPENDENCE OF ELASTIC-SCATTERING AMPLITUDES UPON THE SHAPE OF THE SCATTERER

In this paper the transmission problem of linear elasticity in R2 is considered. We assume a system of quasi-Fredholm singular integral equations which describes the scattering process and we use an asymptotic analysis to derive relations for the far-field patterns. We establish a continuity dependence of the far-field patterns on the scatterer's shape. This result holds for a set of admissible functions which are considered as parametrization of the boundary of the inclusion. Continuity properties of this nature secure the stability of the inverse scattering problem.