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Following Nachman's reconstruction scheme and using Haberman and Tataru's idea for the uniqueness for Calder\'on's problem with low regular coefficients, we reconstruct $C^1$ conductivity $\gamma$ or Lipchitz conductivity $\gamma$ with small enough value of $|\nabla log\gamma|$ in a Lipschitz domain $\Omega$ from the Dirichlet-to-Neumann map $\Lambda_{\gamma}$. |
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