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Séminaire de EDP - Physique Mathématique

The Calderón problem with corrupted data

Pedro Caro

( BCAM )

Salle de Conférences

le 23 octobre 2018 à 11:30

I will talk about the inverse Calderón problem, which consists of determining the conductivity inside a medium by electrical measurements on its surface. Ideally, these measurements determine the Dirichlet-to-Neumann map and, therefore, one usually assumes the data to be given by such a map. This situation corresponds to having access to infinite-precision measurements, which is totally unrealistic. In this lecture, we will discuss the Calderón problem assuming the data to contain measurement errors and provide formulas to reconstruct the conductivity and its normal derivative on the surface.