Growth of Sobolev norms for linear Schr{\"o}dinger operators
Analysis of PDEs
2021-05-10 v2
Abstract
We give an example of a linear, time-dependent, Schr{\"o}dinger operator with optimal growth of Sobolev norms. The construction is explicit, and relies on a comprehensive study of the linear Lowest Landau Level equation with a time-dependent potential.
Keywords
Cite
@article{arxiv.2006.02674,
title = {Growth of Sobolev norms for linear Schr{\"o}dinger operators},
author = {Laurent Thomann},
journal= {arXiv preprint arXiv:2006.02674},
year = {2021}
}