Higher order scattering on asymptotically Euclidean Manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 πon the boundary. Furthermore, it is shown that on \Real^n the asymptotics of certain short-range perturbations of Δ^k can be recovered from the scattering matrix at a finite number of energies.
To appear in the Canadian Journal of Mathematics; 26 pages

Keywords

Analysis of PDEs, Mathematical Physics, Spectral Theory, 58J40; 58J20; 35P25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/58717

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0002148
 http://arxiv.org/abs/math/0002148

Collections

arXiv