L^p-estimates for a Schrodinger equation associated with the harmonic oscillator

Abstract

In this article we obtain Strichartz estimates for a Schrodinger equation associated with the harmonic oscillator and the Laplacian. Our main tools are embeddings between Lebesgue and Triebel-Lizorkin spaces.

Keywords

• Harmonic oscillator
• Schrodinger equation
• Strichartz estimates
• Hermite expansion