Semiclassical estimates in asymptotically Euclidean scattering
偏微分方程分析
2009-10-31 v1
摘要
In this note we obtain semiclassical resolvent estimates for non-trapping long range perturbations of the Laplacian on asymptotically Euclidean manifolds. Our proof is based on a positive commutator argument which differs from Mourre-type estimates by making the commutant also positive. The resolvent estimates, including the weighting of the Sobolev spaces in the estimates, are an immediate consequence.
引用
@article{arxiv.math/9910098,
title = {Semiclassical estimates in asymptotically Euclidean scattering},
author = {Andras Vasy and Maciej Zworski},
journal= {arXiv preprint arXiv:math/9910098},
year = {2009}
}
备注
11 pages, 4 figures, AMS Latex