Quantitative Limiting Absorption Principle in the Semiclassical Limit

We give an elementary proof of Burq’s resolvent bounds for long range semiclassical Schrödinger operators. Globally, the resolvent norm grows exponentially in the inverse semiclassical parameter, and near infinity it grows linearly. We also weaken the regularity assumptions on the potential.

Bibliographic Details
Main Author: Datchev, Kiril
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Basel 2017
Online Access:http://hdl.handle.net/1721.1/106921