A New Proof of Scattering below the Ground State for the 3D Radial Focusing Cubic NLS
We revisit the scattering result of Holmer and Roudenko (2008) on the radial focusing cubic NLS in three space dimensions. Using the radial Sobolev embedding and a virial/Morawetz estimate, we give a simple proof of scattering below the ground state that avoids the use of concentration compactness.
B. Dodson and J. Murphy, "A New Proof of Scattering below the Ground State for the 3D Radial Focusing Cubic NLS," Proceedings of the American Mathematical Society, vol. 145, no. 11, pp. 4859-4867, American Mathematical Society, Nov 2017.
The definitive version is available at https://doi.org/10.1090/proc/13678
Mathematics and Statistics
International Standard Serial Number (ISSN)
Article - Journal
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01 Nov 2017