L^p-estimates for the Schrödinger equation associated to the harmonic oscillator

2018/08/08 by Duván Cardona, Cardona, Duván
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1808.02906

openalex publication_date 2018/08/08 · openalex created_date 2018/08/22 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain some Strichartz estimates for the Schrödinger equation associated to the harmonic oscillator and the Laplacian. Our main tool will be some embeddings between Lebesgue spaces and suitable Triebel-Lizorkin spaces.

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