Strichartz estimates for Schr\"{o}dinger operators with square potential with time-dependent coefficients
Analysis of PDEs
2020-07-15 v3
Abstract
Strichartz estimates for a time-decaying harmonic oscillator were proven with some assumptions of coefficients for the time-decaying harmonic potentials. The main results of this paper are to remove these assumptions and to enable us to deal with the more general coefficient functions. Moreover, we also prove similar estimates for time-decaying homogeneous magnetic fields.
Cite
@article{arxiv.1805.07991,
title = {Strichartz estimates for Schr\"{o}dinger operators with square potential with time-dependent coefficients},
author = {Masaki Kawamoto},
journal= {arXiv preprint arXiv:1805.07991},
year = {2020}
}