We consider the problem of determining a polyhedral conductivity inclusion embedded in a homogeneous isotropic medium from boundary measurements. We prove global Lipschitz stability for the polyhedral inclusion from the local Dirichlet-to-Neumann map extending in a highly nontrivial way the results obtained in [BerFra20] and [BerFraVes21] in the two-dimensional case to the three-dimensional setting.
Lipschitz stable determination of polyhedral conductivity inclusions from local boundary measurements / Andrea Aspri, Elena Beretta, Elisa Francini, Sergio Vessella. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 54:(2022), pp. 5103-5575.0-5103-5575.0. [10.1137/22M1480550]
Lipschitz stable determination of polyhedral conductivity inclusions from local boundary measurements
Elisa Francini
;Sergio Vessella
2022
Abstract
We consider the problem of determining a polyhedral conductivity inclusion embedded in a homogeneous isotropic medium from boundary measurements. We prove global Lipschitz stability for the polyhedral inclusion from the local Dirichlet-to-Neumann map extending in a highly nontrivial way the results obtained in [BerFra20] and [BerFraVes21] in the two-dimensional case to the three-dimensional setting.
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