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Reconstruction from boundary measurements for less regular conductivities

Reconstruction from boundary measurements for less regular conductivities

In this paper, following Nachman's idea (1988 Ann. Math. 128 531–76) and Haberman and Tataru's idea (2013 Duke Math. J. 162 497–516), we reconstruct C 1 conductivity γ or Lipchitz conductivity γ with small enough value of in a Lipschitz domain Ω from the Dirichlet-to-Neumann map . In the appendix …