Higher order scattering on asymptotically Euclidean Manifolds

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dc.creatorChristiansen, T. J.
dc.creatorJoshi, M. S.
dc.date2000-02-17
dc.date.accessioned2026-07-07T04:33:56Z
dc.date.available2026-07-07T04:33:56Z
dc.descriptionWe 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.
dc.descriptionTo appear in the Canadian Journal of Mathematics; 26 pages
dc.identifierhttps://arxiv.org/abs/math/0002148
dc.identifierhttp://arxiv.org/abs/math/0002148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58717
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject58J40; 58J20; 35P25
dc.titleHigher order scattering on asymptotically Euclidean Manifolds
dc.typetext

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