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 Lam\'e moduli for a piecewise constant elasticity tensor C=∑jCjχDj, where {Dj} 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 C1,α regularity assumptions on the interfaces.