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On blowup solutions for the mixed fractional Schrödinger equation of Choquard type
Journal article   Peer reviewed

On blowup solutions for the mixed fractional Schrödinger equation of Choquard type

L. Chergui and Lassaad Chergui
Nonlinear analysis, Vol.224, p.113105
11/2022
DOI: https://doi.org/10.1016/j.na.2022.113105

Abstract

Choquard equation Mixed fractional Strichartz estimate Virial identity Well-posedness
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.

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