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Semiclassical estimates in asymptotically Euclidean scattering

By András Vasy and Maciej Zworski


The purpose of this note is to obtain semiclassical resolvent estimates for long range perturbations of the Laplacian on asymptotically Euclidean manifolds. For an estimate which is uniform in the Planck constant h we need to assume that the energy level is non-trapping. In the high energy limit (that is, when we consider ∆ − λ 2, as λ → ∞

Year: 2013
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