On Schr\"odinger equation with square and inverse-square potentials
Analysis of PDEs
2025-07-25 v3
Abstract
In this paper, we study the linear and nonlinear Schr\"odinger 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.
Cite
@article{arxiv.2404.04756,
title = {On Schr\"odinger equation with square and inverse-square potentials},
author = {Atsuhide Ishida and Masaki Kawamoto},
journal= {arXiv preprint arXiv:2404.04756},
year = {2025}
}
Comments
12 pages