DATE2017-04-27 15:10-16:00



TITLEGlobal Identification of a Singular Potential in the Plane by Boundary Measurements

ABSTRACT In this talk, I would like to discuss the global uniqueness of determining a singular potential in the plane by the full Cauchy data on the boundary. We the Schrodinger equation with potentials in $L^p$ space, where $p>4/3$. We will make use of an approach introduced by Bukhgeim for solving inverse boundary values in the plane. This approach consists of two key ingredients: complex geometrical optics solutions with quadratic phases and the method of stationary phase. The talk is based on a recent joint work with E. Blasten and L. Tzou.