Semiclassical estimates in asymptotically Euclidean scattering

Authors
Vasy, A Zworski, M
Citation
A. Vasy et M. Zworski, Semiclassical estimates in asymptotically Euclidean scattering, COMM MATH P, 212(1), 2000, pp. 205-217
Citations number
16
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
212
Issue
1
Year of publication
2000
Pages
205 - 217
Database
ISI
SICI code
0010-3616(200006)212:1<205:SEIAES>2.0.ZU;2-3
Abstract
We consider long range semiclassical perturbations of the Laplacian on asym ptotically Euclidean manifolds. We obtain precise resolvent estimates under nontrapping assumptions. The novelty lies in a systematic use of geometric microlocal methods.