Inverse boundary value problem for the magnetic Schroedinger operator with partial data

Leo Tzou
University of Washington


Date: May 3, 2006

In this talk we will discuss the inverse boundary value problem for the magnetic Schroedinger equation. We will give an identifiability result for the partial data problem for recovering the magnetic field and the electric potential. This is done by first deriving a Carleman estimate for the magnetic Schroedinger operator. Using this estimate in conjunction with the complex geometric optic solutions, we recover the curl of the vector field and the scalar potential. Time permitting, I will also present the issue of stability estimate.