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<p>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.</p>

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On Schrödinger equation with square and inverse-square potentials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月28日

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  • Atsuhide Ishida,
  • Masaki Kawamoto

摘要

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.