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On uniqueness in the inverse conductivity problem

✍ Scribed by Ali Sever

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 127 KB
Volume: 22
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(199908)22:12<953::aid-mma10>3.0.co;2-j

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✦ Synopsis

We derive a uniqueness proof of inclusions of di!erent (analytic) conductivities in the equation div(a grad u)"0 in under the minimal assumptions: (i) the boundaries of inclusions are only Lipschitz and (ii) we have no topological assumptions. For any Dirichlet data g, we are given the Neumann data h; in other words, results of all possible boundary measurements are known. For this purpose, we use and modify the construction of singular solution of elliptic equations due to Alessandrini [1].

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