On Schrödinger equation with square and inverse-square potentials

Atsuhide Ishida () and Masaki Kawamoto ()
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Atsuhide Ishida: Tokyo University of Science
Masaki Kawamoto: Okayama University

Partial Differential Equations and Applications, 2025, vol. 6, issue 4, 1-11

Abstract: 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.

Keywords: Schrödinger equation; Strichartz estimates; Inverse-square potential; Harmonic oscillators; Primary 35Q41; Secondary 81U05; 47A40 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s42985-025-00325-2

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