Estimates on modulation spaces for Schr\"{o}dinger operators with time-dependent sub-linear vector potentials

Keiichi Kato; Ryo Muramatsu

Estimates on modulation spaces for Schr\"{o}dinger operators with time-dependent sub-linear vector potentials

Analysis of PDEs 2022-01-31 v1

Authors: Keiichi Kato , Ryo Muramatsu

Abstract

In this paper, we give estimates of the solutions to Schr\"{o}dinger equation on modulation spaces with vector potential of sub-linear growth.

Keywords

schrödinger equation schrödinger operators nonlinear schrödinger equation

Cite

@article{arxiv.2201.11896,
  title  = {Estimates on modulation spaces for Schr\"{o}dinger operators with time-dependent sub-linear vector potentials},
  author = {Keiichi Kato and Ryo Muramatsu},
  journal= {arXiv preprint arXiv:2201.11896},
  year   = {2022}
}