Inverse problems: seeing the unseen

• Published in: Bulletin of mathematical sciences Vol. 4; no. 2; pp. 209 - 279
• Main Author: Uhlmann, Gunther
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.07.2014; World Scientific Publishing Co. Pte., Ltd
• Subjects: Boundary value problems; Electrical impedance; Electrical resistivity; Inverse problems; Mathematics; Mathematics and Statistics; Numerical analysis; Refractivity; Riemann manifold; Tomography; Travel time; Visibility; Brazil; Rio de Janeiro Brazil; Boundary Rigidity Problem; CGO Solutions; Boundary Distance Function; Carleman Estimates; Complex Geometrical Optics (CGO)

This survey article deals mainly with two inverse problems and the relation between them. The first inverse problem we consider is whether one can determine the electrical conductivity of a medium by making voltage and current measurements at the boundary. This is called electrical impedance tomogra...