Volume 57, pp. 17-34, 2022.

On the tangential cone condition for electrical impedance tomography

Stefan Kindermann


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.

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Key words

impedance tomography, tangential cone condition, Löwner convexity

AMS subject classifications

47J06, 65F22

ETNA articles which cite this article

Vol. 57 (2022), pp. 216-241 Simon Hubmer, Ekaterina Sherina, Stefan Kindermann, and Kemal Raik: A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration

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