A NEW PROOF OF SCATTERING BELOW THE GROUND STATE FOR THE 3D RADIAL FOCUSING CUBIC NLS

作者:Dodson, Benjamin*; Murphy, Jason
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145(11): 4859-4867.
DOI:10.1090/proc/13678

摘要

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.

  • 出版日期2017-11