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

tekijä: elkalesk — Viimeisin muutos perjantai 23. elokuuta 2013, 13.06
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.