On Schrödinger equation with square and inverse-square potentials
arXiv:2404.04756 · doi:10.1007/s42985-025-00325-2
Abstract
In this paper, we study the linear and nonlinear Schrödinger equations with a time-decaying harmonic oscillator and inverse-square potential. This model retains a form of scale invariance, and using this property, we demonstrate the asymptotic completeness of wave operators and Strichartz estimates for linear propagators.
arXiv comment12 pages
References in corpus (3)
- Strichartz estimates for Schrödinger operators with square potential with time-dependent coefficients
- 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