A new proof of scattering below the ground state for the non-radial focusing NLS

Abstract

We revisit the scattering result of Duyckaerts, Holmer, and Roudenko for the non-radial H1/2-critical focusing NLS. By proving an interaction Morawetz inequality, we give a simple proof of scattering below the ground state in dimensions d≥ 3 that avoids the use of concentration compactness.

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