%0 Journal Article %T Non-trapping estimates near normally hyperbolic trapping %A Peter Hintz %A Andras Vasy %J Mathematics %D 2013 %I arXiv %X 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 $\Gamma$. %U http://arxiv.org/abs/1311.7197v1