Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non flat interfaces

We consider the inverse problem of determining the Lamé moduli for a piecewise constant elasticity tensor ${\mathbb C}= \sum_{j} {\mathbb C}_j χ_{D_j}$, where $\{D_j\}$ is a known finite partition of the body $Ω$, from the Dirichlet-to-Neumann map. We prove that Lipschitz stability estimates can be derived under $C^{1,α}$ regularity assumptions on the interfaces.

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