$L^p$ Boundedness of the Scattering Wave Operators of Schr\"odinger Dynamics -- Part 2
Analysis of PDEs
2022-02-08 v1
Abstract
We give another proof of the boundedness of scattering wave operators, at the low frequency part of the data. The proof also allows the control of the commutator of multiplication by with the wave operator in . The method we develop here is geared to proving similar results for \emph{time dependent potentials}, complementing previous work focused on the high frequency part.
Keywords
Cite
@article{arxiv.2202.03307,
title = {$L^p$ Boundedness of the Scattering Wave Operators of Schr\"odinger Dynamics -- Part 2},
author = {Avy Soffer and Xiaoxu Wu},
journal= {arXiv preprint arXiv:2202.03307},
year = {2022}
}