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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 13
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Articles

A new proof of scattering for the 5D radial focusing Hartree equation

Pages 4412-4431 | Received 03 Apr 2019, Accepted 24 Nov 2020, Published online: 10 Dec 2020
 

Abstract

We revisit the scattering result below the ground state of Y. Gao and H. Wu [Scattering for the focusing H˙12 -critical Hartree equation in energy space. Nonlinear Anal. 2010;73:1043–1056] on the radial focusing energy-subcritical Hartree equation in d = 5, using the method in Dodson and Murphy [A new proof of scattering below the ground state for the 3D radial focusing cubic NLS. preprint, arXiv:1712.09962]. Using the radial Sobolev embedding and a virial-Morawetz type estimate we can exclude the concentration of mass near the origin instead of using the concentration compactness method in Gao and Wu [Scattering for the focusing H˙12-critical Hartree equation in energy space. Nonlinear Anal. 2010;73:1043–1056].

2010 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

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