Strichartz estimates for the magnetic Schrödinger equation

2005/09/14 by Atanas Stefanov, Stefanov, Atanas
Mathematics · Medicine · #35Q55 #35Q60 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Soft tissue tumor case studies #math.AP #msc:35Q55 #msc:35Q60

paper · pdf · doi:10.48550/arxiv.math/0509314

arxiv created 2005/09/14 · openalex publication_date 2005/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove global, scale invariant Strichartz estimates for the linear magnetic Schrödinger equation with small time dependent magnetic field. This is done by constructing an appropriate parametrix. As an application, we show a global regularity type result for Schrödinger maps in dimensions n≥ 6.

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