电阻抗层析成像的切锥条件

ETNA - Electronic Transactions on Numerical Analysis Pub Date : 2021-05-06 DOI:10.1553/etna_vol57s17

S. Kindermann

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引用次数: 4

摘要

。对于电阻抗层析问题，我们给出了一些充分的切锥条件准则。结果是基于Löwner前向算子的凸性。因此，我们证明了对于满足各种性质的电导率，例如Hölder源条件，有限维性或某些单调性准则，切锥条件得到验证。

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On the tangential cone condition for electrical impedance tomography

. 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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ETNA - Electronic Transactions on Numerical Analysis

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