Calderon's inverse problem for anisotropic conductivity in the plane
  We study inverse conductivity problem for an anisotropic conductivity in $L^\infty$ in bounded and unbounded domains. Also, we give applications of the results in the case when Dirichlet-to-Neumann and Neumann-to-Dirichlet maps are given only on a part of the boundary. 
Kari Astala, Matti Lassas, Lassi Paivarinta