Semiclassical estimates of the cut-off resolvent for trapping perturbations
Semiclassical estimates of the cut-off resolvent for trapping perturbations
This paper is devoted to the study of the cut-off resolvent of a semiclassical “black box” operator P . We estimate the norm of \varphi ( P - z )^{- 1} \varphi , for any \varphi \in C^{\infty}_{0} ( \mathbb R^{n} ) , by the norm of {1\!\!1}_{\mathcal C_{a,b}} ( …