1. CJM 2000 (vol 52 pp. 897)
|Higher Order Scattering on Asymptotically Euclidean Manifolds |
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 integral operator associated to the geodesic flow at time $\pi$ on the boundary. Furthermore, it is shown that on $\Real^n$ the asymptotics of certain short-range perturbations of $\Delta^k$ can be recovered from the scattering matrix at a finite number of energies.
Keywords:scattering theory, conormal, Lagrangian