Asymptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic potentials

Masaki Kawamoto; Ryo Muramatsu

doi:10.1007/s00028-020-00597-8

paper

Asymptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic potentials

arXiv:1910.11548 · doi:10.1007/s00028-020-00597-8

Abstract

In this study, we examine the asymptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic oscillators and prove the time-decay property of solutions in the case of a long range power type nonlinearity.