Stability of the Calder\'on problem for less regular conductivities

Stability of the Calder\'on problem for less regular conductivities
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DOI:
10.1016/j.jde.2012.08.018
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发表时间:
2012-05
期刊:
arXiv: Analysis of PDEs
影响因子:
--
通讯作者:
Pedro Caro;Andoni Garc'ia;J. M. Reyes
Pedro Caro;Andoni Garc'ia;J. M. Reyes
中科院分区:
其他
文献类型:
--
作者:
Pedro Caro;Andoni Garc'ia;J. M. Reyes

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在这些笔记中,我们证明了具有C1,ε(Ω¯)电导率的Calderón问题的对数型稳定性。我们遵循Haberman和Tataru最近的工作,他们证明了C1的唯一性(Ω¯)。
In these notes we prove log-type stability for the Calderón problem with conductivities in C1,ε(Ω¯). We follow the lines of a recent work by Haberman and Tataru in which they prove uniqueness for C1(Ω¯).