Journal
ANNALS OF MATHEMATICS
Volume 163, Issue 1, Pages 265-299Publisher
ANN MATHEMATICS
DOI: 10.4007/annals.2006.163.265
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We show that the Dirichlet to Neumann map for the equation del center dot sigma del u = 0 in a two-dimensional domain uniquely determines the bounded measurable conductivity a. This gives a positive answer to a question of A. P. Calderon from 1980. Earlier the result has been shown only for conductivities that are sufficiently smooth. In higher dimensions the problem remains open.
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