On the tangential cone condition for electrical impedance tomography

Stefan Kindermann

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arXiv · 2105.02635

On the tangential cone condition for electrical impedance tomography

Stefan Kindermann

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Abstract

We state some sufficient criteria for the tangential cone conditions to hold for the electrical impedance tomography problem. The results are based on an estimate for the first-order Taylor residual for the forward operator and some convexity results in the L\"owner order. As a consequence, for conductivities satisfying certain monotonicity properties, the tangential cone condition is verified.

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Stefan Kindermann. 2021-05-06. On the tangential cone condition for electrical impedance tomography. https://arxiv.org/abs/2105.02635

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