×

zbMATH — the first resource for mathematics

Semiclassical estimates in asymptotically Euclidean scattering. (English) Zbl 0955.58023
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.

MSC:
58J37 Perturbations of PDEs on manifolds; asymptotics
PDF BibTeX XML Cite
Full Text: DOI arXiv