On blowup solutions for the mixed fractional Schrödinger equation of Choquard type. (November 2022)

• Record Type: Journal Article
• Authors: Chergui, L.
• Is Part Of: Nonlinear analysis. Volume 224(2022)
• Publication Date: 2022-11
• Subjects: 35Q55; Choquard equation -- Mixed fractional -- Strichartz estimate -- Well-posedness -- Virial identity; 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.2022.113105
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We investigate some mixed fractional nonlinear Schrödinger equation of Choquard type. In the subcritical energy case local well-posedness is obtained. Moreover, based on a suitable Virial type inequality we show a general criterion of global existence versus blow-up for mass super-critical solutions.