Vasy, András; Zworski, Maciej Semiclassical estimates in asymptotically Euclidean scattering. (English) Zbl 0955.58023 Commun. Math. Phys. 212, No. 1, 205-217 (2000). Summary: We consider long range semiclassical perturbations of the Laplacian on asymptotically Euclidean manifolds. We obtain precise resolvent estimates under non-trapping assumptions. The novelty lies in a systematic use of geometric microlocal methods. Cited in 31 Documents MSC: 58J37 Perturbations of PDEs on manifolds; asymptotics Keywords:semiclassical perturbations; Laplacian; asymptotically Euclidean manifolds; geometric microlocal methods PDF BibTeX XML Cite \textit{A. Vasy} and \textit{M. Zworski}, Commun. Math. Phys. 212, No. 1, 205--217 (2000; Zbl 0955.58023) Full Text: DOI arXiv