Electron. J. Differential Equations, Vol. 2019 (2019), No. 20, pp. 1-10.

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

Duvan Cardona

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.

Submitted February 6, 2018. Published January 31, 2019.
Math Subject Classifications: 42B35, 42C10, 35K15.
Key Words: Harmonic oscillator; Schrodinger equation; Strichartz estimates; Hermite expansion/

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Duván Cardona
Pontificia Universidad Javeriana
Mathematics Department
Bogotá, Colombia
email: cardonaduvan@javeriana.edu.co, duvanc306@gmail.com

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