Growth of Sobolev norms for coupled Lowest Landau Level equations
Analysis of PDEs
2021-06-02 v2
Abstract
We study coupled systems of nonlinear lowest Landau level equations, for which we prove global existence results with polynomial bounds on the possible growth of Sobolev norms of the solutions. We also exhibit explicit unbounded trajectories which show that these bounds are optimal.
Keywords
Cite
@article{arxiv.2006.01468,
title = {Growth of Sobolev norms for coupled Lowest Landau Level equations},
author = {Valentin Schwinte and Laurent Thomann},
journal= {arXiv preprint arXiv:2006.01468},
year = {2021}
}