Modified scattering operator for nonlinear Schr\"odinger equations with
time-decaying harmonic potentials
Modified scattering operator for nonlinear Schr\"odinger equations with
time-decaying harmonic potentials
This paper is concerned with nonlinear Schr\"odinger equations with a time-decaying harmonic potential. The nonlinearity is gauge-invariant of the long-range critical order. In [24] and [22], it is proved that the equation admits a nontrivial solution that behaves like a free solution with a logarithmic phase correction in the frameworks …