The inverse problem of elastic scattering by an impenetrable obstacle surrounded by a piecewise homogeneous medium is studied. The corresponding direct scattering problem is mathematically modeled and well-posedness issues are discussed. An essential mixed reciprocity relation is given, uniqueness results for the determination of the impenetrable obstacle with its physical property are proved, and last but not least, the unique determination of the penetrable interface contains the obstacle in its interior is also established.

This presentation is part of Contributed Presentation “CP8 - Contributed session 8”

Authors:

Vassilios Sevroglou (University of Piraeus)

Keywords:

elastic scattering, inverse problems, partial differential equation models