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Scattering versus blow-up beyond the threshold for the focusing Choquard equation
Journal article   Peer reviewed

Scattering versus blow-up beyond the threshold for the focusing Choquard equation

Tarek Saanouni
Journal of mathematical analysis and applications, Vol.492(1), p.124436
01/12/2020

Abstract

Blow-up Global existence Nonlinear Schrödinger-Choquard equation Scattering
This note investigates the Choquard equationiu˙+Δu+(Iα⁎|u|p)|u|p−2u=0. Indeed, above the mass-energy threshold, a scattering versus finite time blow-up dichotomy is obtained in the mass super-critical and energy sub-critical regime.

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