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In this paper, we consider several geometric inverse problems for linearelliptic systems. We prove uniqueness and stability results. In particular, weshow the way that the observation depends on the perturbations of the domain.In some particular situations, this provides a strategy that could be used tocompute approximations to the solution of the inverse problem. In the proofs,we use techniques related to (local) Carleman estimates and differentiationwith respect to the domain.

On Some Geometric Inverse Problems for Nonscalar Elliptic Systems