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An Inverse Problem for a Dynamical Lamé System with Residual Stress

In this paper we prove Holder and Lipschitz stability estimates for determining all coefficients of a dynamical Lame system with residual stress, including the density, Lame parameters, and the residual stress, by three pairs of observations from the whole boundary or from a part of it. These estimates imply first uniqueness results for determination of all parameters in the residual stress systems from few boundary measurements. Our essential assumptions are that the Lame system possesses a suitable pseudoconvex function, residual stress is small, and three sets of the initial data satisfy some independence condition.