Reconstruction from boundary measurements for less regular conductivities

@inproceedings{Garcia2012ReconstructionFB,
  title={Reconstruction from boundary measurements for less regular conductivities},
  author={Andoni Garc'ia and Zhang Guo},
  year={2012}
}
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 the authors and Brown recover the gradient of a C 1-conductivity at the boundary of a Lipschitz domain from the Dirichlet-to-Neumann map .