Resonances and lower resolvent bounds

We show how the presence of resonances close to the real axis implies exponential lower bounds on the norm of the cut-off resolvent on the real axis. Keywords: resolvent estimates; scattering resonances; semiclassical analysis

Bibliographic Details
Main Authors: Zworski, Maciej, Datchev, Kiril, Dyatlov, Semen
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: European Mathematical Publishing House 2018
Online Access:http://hdl.handle.net/1721.1/115913
https://orcid.org/0000-0002-6594-7604