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arXiv · 1311.7197

Non-trapping estimates near normally hyperbolic trapping

Peter Hintz·Andras Vasy
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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 $L^2$ 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 $\Gamma$.

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Peter Hintz, Andras Vasy. 2013-11-28. Non-trapping estimates near normally hyperbolic trapping. https://doi.org/10.4310/mrl.2014.v21.n6.a5

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