In this talk, we will consider the inverse scattering problem for a material with a conductive boundary. We will see that the shape of the object can be uniquely determined by the scattering data. Next, we turn our attention to the associated transmission eigenvalue problem. The transmission eigenvalue problem corresponds to a differential operator that contains the material parameters and therefore hold information about the coefficients.
Joint work with: O. Bondarenko and A. Kleefeld