Volume 57, pp. 17-34, 2022.

On the tangential cone condition for electrical impedance tomography

Stefan Kindermann

Abstract

We state some sufficient criteria for the tangential cone conditions to hold for the electrical impedance tomography problem. The results are based on Löwner convexity of the forward operator. As a consequence, we show that for conductivities that satisfy various properties, such as Hölder source conditions, finite-dimensionality, or certain monotonicity criteria, the tangential cone condition is verified.

Full Text (PDF) [270 KB], BibTeX

Key words

impedance tomography, tangential cone condition, Löwner convexity

AMS subject classifications

47J06, 65F22

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