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

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.

References in corpus (4)

• Global well-posedness and scattering for the defocusing, $L^2$-critical, nonlinear Schr{ö}dinger equation when $d=2$
• The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension
• Strichartz estimates for Schrödinger operators with square potential with time-dependent coefficients
• Quantum scattering with time-decaying harmonic oscillators

Cited by in corpus (3)

• Final state problem for nonlinear Schrödinger equations with time-decaying harmonic oscillators
• Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials
• Asymptotic behavior for nonlinear Schrödinger equations with critical time-decaying harmonic potential