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Extreme inclusions in Calderón's problem

Henrik Garde (Aalborg University)
Mathematics Seminar
Thursday, 4 June, 2020 | 15:00–16:00 | Via zoom. Please contact the organizer for login information
Contact: Søren Fournais
Calderón's problem is on determining information about an electrical conductivity coefficient in a body from boundary measurements of current and voltage. Based on a Neumann-to-Dirichlet map on an arbitrarily small part of the domain boundary, I will give an easy criterion that characterizes the support of conductivity perturbations. The perturbations may lead to conductivity values that are perfectly insulating (zero), perfectly conducting (infinite), or other finite values in between.