MATS578: MA2: Inverse Problems in two Dimensions (JSS23)

by Elina Kaarina Leskinen last modified Aug 23, 2013 01:06 PM
The inverse problem of Calderón consists in determining the electrical conductivity properties of a medium from voltage and current measurements on the boundary. Mathematically, this reduces to an inverse boundary value problem for an elliptic partial differential equation. We will explain a few recent results in dimension two concerning the Calderón problem, when the background space is a Riemann surface. This involves methods from complex analysis, partial differential equations and geometry of Riemann surfaces.