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math.SP2000
Scattering on stratified media: the micro-local properties of the scattering matrix and recovering asymptotics of perturbations
T. J. Christiansen, M. S. Joshi
The fixed energy scattering matrix is defined on a perturbed stratified medium, and for a class of perturbations, its main part is shown to be a Fourier integral operator on the sp…
math.AP2000
Higher order scattering on asymptotically Euclidean Manifolds
T. J. Christiansen, M. S. Joshi
We develop a scattering theory for perturbations of powers of the Laplacian on asymptotically Euclidean manifolds. The (absolute) scattering matrix is shown to be a Fourier integra…