Global endpoint Strichartz estimates for Schrödinger equations on the cylinder R×T. (May 2021)

• Record Type: Journal Article
• Authors: Barron, Alexander; Christ, Michael; Pausader, Benoit
• Is Part Of: Nonlinear analysis. Volume 206(2021)
• Publication Date: 2021-05
• Subjects: Strichartz estimates -- Schrodinger equations -- Dispersive equations on wave-guides; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.112172
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove global in time Strichartz estimates on the semi-periodic cylinder with initial data in L 2 . This extends the local results of Takaoka-Tzvetkov [13] and the global estimates with loss of derivatives of Hani-Pausader [9] and Barron [1] .