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Obstacles in Calderón’s inverse conductivity problem

Henrik Garde
Wednesday 9 November 2022 14:15–14:45 Aud. D2 (1531-119)
Inaugural lecture

Calderón’s inverse conductivity problem sparked a general interest in inverse coefficient problems (Calderón-type inverse problems). The problem concerns recovering an interior conductivity distribution of a body from boundary electrical measurements; mathematically, it is the reconstruction of a coefficient in a generalized Laplace equation from knowledge of all possible Dirichlet and Neumann boundary values.

I will show how very general inhomogeneities/obstacles in such a coefficient can be constructively characterized from partial boundary measurements. I will also discuss issues that arise when realistic electrode models are used instead.

Contact: Lars Madsen Revised: 03.11.2022