A new proof of scattering below the ground state for the 3d radial focusing cubic NLS

Dodson, Benjamin; Murphy, Jason

doi:10.1090/proc/13678

A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
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by Benjamin Dodson and Jason Murphy PDF

Proc. Amer. Math. Soc. 145 (2017), 4859-4867 Request permission

Abstract:

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.

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