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Colóquio do MAP - "Stable determination of an elastic inclusion by the Dirichlet-to-Neumann map"
Sexta-feira 08 Dezembro 2017, 16:00 - 17:00
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Colóquio do MAP

Palestrante: Antonino Morassi (Università degli Studi di Udine - Itália)

Resumo: We present some recent results concerning the stable identification of an unknown inclusion contained in an elastic body by all the pairs of measurements of displacement and traction taken at the boundary of the body. Both the body and the inclusion are made by (different) inhomogeneous linearly elastic isotropic material. Under mild a priori assumptions about the smoothness of the inclusion and the regularity of the coefficients, we establish a logarithmic stability estimate. Main tools are propagation of smallness arguments based on three-spheres inequality for solutions to the Lamé system and a refined asymptotic analysis of the fundamental solution of the Lamé system in presence of an inclusion. This is a joint work with Edi Rosset, which extends the analogous result proved by Alessandrini, Di Cristo, M. and Rosset in the case of piecewise constant coefficients.

APOIO: FAPESP (Processo nº: 2017/07189-2)

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