On the tangential cone condition for electrical impedance tomography

2021/05/06 by Kindermann, Stefan · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.02635

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 Löwner order. As a consequence, for conductivities satisfying certain monotonicity properties, the tangential cone condition is verified.

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