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Stability of the Inverse Problem for Dini Continuous Conductivities in the Plane

Analysis of PDEs 2020-03-23 v1

Abstract

We show that the inverse problem of Calderon for conductivities in a two-dimensional Lipschitz domain is stable in a class of conductivities that are Dini continuous. This extends previous stability results when the conductivities are known to be Holder continuous.

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Cite

@article{arxiv.2003.09321,
  title  = {Stability of the Inverse Problem for Dini Continuous Conductivities in the Plane},
  author = {Robert McOwen and Bindu K Veetel},
  journal= {arXiv preprint arXiv:2003.09321},
  year   = {2020}
}

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21 pages