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

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.

Bibliographic Details
Main Author:	Duvan Cardona
Format:	Article
Language:	English
Published:	Texas State University 2019-01-01
Series:	Electronic Journal of Differential Equations
Subjects:	Harmonic oscillator Schrodinger equation Strichartz estimates Hermite expansion
Online Access:	http://ejde.math.txstate.edu/Volumes/2019/20/abstr.html

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record_format	Article
spelling	doaj-e70d874180e14e4cafbffde69cebaf162020-11-25T01:23:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912019-01-01201920,110L^p-estimates for a Schrodinger equation associated with the harmonic oscillatorDuvan Cardona0 Pontificia Univ. Javeriana, Bogota, Colombia 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.http://ejde.math.txstate.edu/Volumes/2019/20/abstr.htmlHarmonic oscillatorSchrodinger equationStrichartz estimatesHermite expansion
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Duvan Cardona
spellingShingle	Duvan Cardona L^p-estimates for a Schrodinger equation associated with the harmonic oscillator Electronic Journal of Differential Equations Harmonic oscillator Schrodinger equation Strichartz estimates Hermite expansion
author_facet	Duvan Cardona
author_sort	Duvan Cardona
title	L^p-estimates for a Schrodinger equation associated with the harmonic oscillator
title_short	L^p-estimates for a Schrodinger equation associated with the harmonic oscillator
title_full	L^p-estimates for a Schrodinger equation associated with the harmonic oscillator
title_fullStr	L^p-estimates for a Schrodinger equation associated with the harmonic oscillator
title_full_unstemmed	L^p-estimates for a Schrodinger equation associated with the harmonic oscillator
title_sort	l^p-estimates for a schrodinger equation associated with the harmonic oscillator
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2019-01-01
description	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.
topic	Harmonic oscillator Schrodinger equation Strichartz estimates Hermite expansion
url	http://ejde.math.txstate.edu/Volumes/2019/20/abstr.html
work_keys_str_mv	AT duvancardona lpestimatesforaschrodingerequationassociatedwiththeharmonicoscillator
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L^p-estimates for a Schrodinger equation associated with the harmonic oscillator

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