### Abstract

We prove upper and lower estimates on the measure of an inclusion D in a conductor Ω in terms of one pair of current and potential boundary measurements. The growth rates of such estimates are essentially best possible.

Original language | English |
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Pages (from-to) | 53-64 |

Number of pages | 12 |

Journal | Proceedings of the American Mathematical Society |

Volume | 128 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2000 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

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## Cite this

Alessandrini, G., Rosset, E., & Seo, J. K. (2000). Optimal size estimates for the inverse conductivity problem with one measurement.

*Proceedings of the American Mathematical Society*,*128*(1), 53-64. https://doi.org/10.1090/s0002-9939-99-05474-x