Non-trapping estimates near normally hyperbolic trapping
Analysis of PDEs
2020-05-28 v2
Abstract
In this paper we prove semiclassical resolvent estimates for operators with normally hyperbolic trapping which are lossless relative to non-trapping estimates but take place in weaker function spaces. In particular, we obtain non-trapping estimates in standard spaces for the resolvent sandwiched between operators which localize away from the trapped set in a rather weak sense, namely whose principal symbols vanish on .
Keywords
Cite
@article{arxiv.1311.7197,
title = {Non-trapping estimates near normally hyperbolic trapping},
author = {Peter Hintz and Andras Vasy},
journal= {arXiv preprint arXiv:1311.7197},
year = {2020}
}
Comments
20 pages, 3 figures. The main results of this paper were in the appendix of arXiv:1306.4705v1; with v2 the appendix has been removed and it is posted independently, in an expanded form, as this paper. v2 is the published version, with minor improvements of the exposition and corrected references