The exterior Calderón operator for non-spherical objects
This paper deals with the exterior Calderón operator for Lipschitz surfaces. We present a new approach of finding the norm of the exterior Calderón operator for this class of surfaces. The basic tool in the treatment is the set of eigenfunctions and eigenvalues of the Laplace-Beltrami operator for the surface. The norm is obtained as an eigenvalue problem of a quadratic form containing the exterioThis paper deals with the exterior Calderón operator for Lipschitz surfaces. We present a new approach of nding the norm of the exterior Calderón operator for this class of surfaces. The basic tool in the treatment is the set of eigenfunctions and eigenvalues of the Laplace-Beltrami operator for the surface. The norm is obtained as an eigenvalue problem of a quadratic form containing the exterior
