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arXiv · 1406.1899

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

Elena Beretta·Elisa Francini·Antonino Morassi·Edi Rosset·Sergio Vessella
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Abstract

We consider the inverse problem of determining the Lam\'e moduli for a piecewise constant elasticity tensor ${\mathbb C}= \sum_{j} {\mathbb C}_j \chi_{D_j}$, 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.

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Elena Beretta, Elisa Francini, Antonino Morassi, Edi Rosset, Sergio Vessella. 2014-06-07. Lipschitz continuous dependence of piecewise constant Lam\'e coefficients from boundary data: the case of non flat interfaces. https://doi.org/10.1088/0266-5611%2F30%2F12%2F125005

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