Inverse Boundary Value Problems in a Slab
Abstract: Inverse boundary value problems arise when one tries to recover internal parameters of a medium from data obtained by boundary measurements. In many of these problems the physical situation is modeled by partial differential equations. The goal is to determine the coefficients of the equations from some measurements of the solutions on the boundary. In this work we consider the inverse problems for Schroedinger equations with Yang-Mills potentials in the domain of infinite slab type. We prove that the potentials can be determined uniquely up to a gauge equivalent class, assuming that only partial measurements are known on the boundary hyperplanes.