Asymptotic behavior of solutions to nonlinear Schr\"{o}dinger equations with time-dependent harmonic potentials
Mathematical Physics
2020-07-07 v3 math.MP
Abstract
In this study, we examine the asymptotic behavior of solutions to nonlinear Schr\"{o}dinger equations with time-dependent harmonic oscillators and prove the time-decay property of solutions in the case of a long range power type nonlinearity.
Keywords
Cite
@article{arxiv.1910.11548,
title = {Asymptotic behavior of solutions to nonlinear Schr\"{o}dinger equations with time-dependent harmonic potentials},
author = {Masaki Kawamoto and Ryo Muramatsu},
journal= {arXiv preprint arXiv:1910.11548},
year = {2020}
}