Lipschitz continuous dependence of piecewise constant Lam\ue9 coefficients from boundary data: the case of non flat interfaces

We consider the inverse problem of determining the Lame' moduli for a piecewise constant elasticity tensor $CC= sum_{j} CC_j chi_{D_j}$, where ${D_j}$ is a known finite partition of the body $Omega$, from the Dirichlet-to-Neumann map. We prove that Lipschitz stability estimates can be derived under $C^{1,alpha}$ regularity assumptions on the interfaces