On the tangential cone condition for electrical impedance tomography

Electronic Transactions on Numerical Analysis

article

Stefan Kindermann¹ 

[1] Industrial Mathematics Institute, Johannes Kepler University Linz

关键词: impedance tomography;    tangential cone condition;    Löwner convexity;   

DOI  :  10.1553/etna_vol57s17

学科分类：数学（综合）

来源: Kent State University * Institute of Computational Mathematics

【 摘 要 】

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.

【 授权许可】

Unknown