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- W2079585907 abstract "Any compact smooth manifold, X, with boundary admits a Riemannian metric of the form x-4dx2 + x-2h' near the boundary with x a boundary defining function and h' restricting to a metric on the boundary. Melrose [Spectral and scattering theory for the Laplacian on asymptotically Euclidean spaces, in Spectral and Scattering Theory, M. Ikawa, ed., Marcel Dekker, New York, 1994] has associated a scattering matrix to such metrics and potentials in $xC^{infty}(X).$ It is shown for potentials of the form Ax + O(x2 ) that this scattering matrix is a Fourier integral operator and that the asymptotics of such potentials can be recovered from the scattering matrix for various manifolds including Euclidean space." @default.
- W2079585907 created "2016-06-24" @default.
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- W2079585907 date "1999-01-01" @default.
- W2079585907 modified "2023-09-26" @default.
- W2079585907 title "Recovering Asymptotics of Coulomb-like Potentials from Fixed Energy Scattering Data" @default.
- W2079585907 doi "https://doi.org/10.1137/s003614109732763x" @default.
- W2079585907 hasPublicationYear "1999" @default.
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