Non-trapping estimates near normally hyperbolic trapping

被引：13
|
作者：
Hintz, Peter [1 ]
Vasy, Andras [1 ]
机构：
[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA
来源：
MATHEMATICAL RESEARCH LETTERS | 2014年 / 21卷 / 06期
基金：
美国国家科学基金会;
关键词：
SETS;
D O I：
10.4310/MRL.2014.v21.n6.a5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 L-2 spaces for the resolvent sandwiched between operators which localize away from the trapped set Gamma in a rather weak sense, namely whose principal symbols vanish on Gamma.
引用
收藏
页码：1277 / 1304
页数：28
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