Bounds on Resolvents of Dilated Schroedinger Operators with Non Trapping Potentials

摘要

We provide bounds on resolvents of dilated Schroedinger operators via an exterior scaling. It is done under a non trapping condition on the potential which has a clear interpretation in classical mechanics. These bounds are a powerful tool to prove absence of resonances due to the tail of the potential in the shape resonance problem. (ERA citation 11:049451)