Article Contents
Article Contents

# Energy scattering for the focusing fractional generalized Hartree equation

• * Corresponding author
• This note studies the asymptotics of radial global solutions to the non-linear fractional Schrödinger equation

$i\dot u-(-\Delta)^s u+|u|^{p-2}(I_\alpha *|u|^p)u = 0.$

Indeed, using a new method due to Dodson-Murphy [10], one proves that, in the inter-critical regime, under the ground state threshold, the radial global solutions scatter in the energy space.

Mathematics Subject Classification: Primary: 35Q55; Secondary: 35B35.

 Citation:

Open Access Under a Creative Commons license