Series: Mathematics Colloquium

Date: Thursday, September 30, 2004

Time: 4:00 - 5:00 PM

Place: 201 Thomas Building

Host: Dmitri Burago

Refreshments: 3:15 - 3:45 PM, 321 Whitmore

Speaker: Gunther Uhlmann, University of Washington

Title: The Calderon Problem with Partial Data  

Abstract:

  We will discuss an inverse problem whose mathematical formulation is
  due to Calderon: Can one determine the electrical conductivity of a
  body by making voltage and current measurements at the boundary of
  the body?  This inverse method is also called Electrical Impedance
  Tomography.  The information is encoded in the so-called
  Dirichlet-to-Neumann map associated to an elliptic partial
  differential equation.  We will review some recent developments on
  the local problem, that is when the electrical measurements are made
  only on an open subset of the boundary.