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

Published 28 Dec 2017 in math.AP | (1712.09962v1)

Abstract: We revisit the scattering result of Duyckaerts, Holmer, and Roudenko for the non-radial $\dot H{1/2}$-critical focusing NLS. By proving an interaction Morawetz inequality, we give a simple proof of scattering below the ground state in dimensions $d\geq 3$ that avoids the use of concentration compactness.

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