loading page

ASYMPTOTIC BEHAVIOR OF RADIAL DATA FOR THE FOCUSING FRACTIONAL HARTREE EQUATION
  • Juan Huang,
  • SHENG WANG,
  • QINGRUI HE
Juan Huang
Sichuan Normal University

Corresponding Author:[email protected]

Author Profile
SHENG WANG
Sichuan Normal University
Author Profile
QINGRUI HE
Sichuan Normal University
Author Profile

Abstract

This paper concerned the scattering phenomenon for the mass-supercritical focusing fractional Hartree equation below the ground state threshold. A simple new proof for the radial initial data case is showed here. More specifically, we get the scattering criterion by radial Sobolev embedding inequality and Hardy-Littlewood-Sobolev inequality. Then, combining Balakrishnan's formula, the corresponding Morawetz estimation is obtained. Finally, we prove the scattering result in a new way, which does not require the concentration-compactness.