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Microlocal propagation near radial points and scattering for symbolic potentials of order zero

Hassell, Andrew; Melrose, Richard; Vasy, Andras

Description

In this paper, the scattering and spectral theory of H = 1g + V is developed, where 1g is the Laplacian with respect to a scattering metric g on a compact manifold X with boundary and V ? C 8(X) is real; this extends our earlier results in the two-dimensional case. Included in this class of operators are perturbations of the Laplacian on Euclidean space by potentials homogeneous of degree zero near infinity. Much of the particular structure of geometric scattering theory can be traced to the...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
URI: http://hdl.handle.net/1885/30678
Source: Analysis & PDE (Analysis & partial differential equations)

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