ON UNIQUENESS OF RECOVERING COEFFICIENTS FROM LOCALIZED DIRICHLET-TO-NEUMANN MAP FOR PIECEWISE HOMOGENEOUS PIEZOELECTRICITY

This paper considers an inverse problem on determining coefficients of piecewise homogeneous piezoelectric equations from a localized Dirichlet-to-Neumann map on partial bound-aries. Assume the bounded domain can be divided into finite subdomains, in which the unknown coefficients including the anisotropic elastic tensor, the piezoelectric tensor, and the dielectric tensor are constants. In this paper, two different cases are considered: the subdomains are either known and Lipschitz or unknown and subanalytic. For both cases, the unknown coefficients can be uniquely determined from a given localized Dirichlet-to-Neumann map.