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arXiv · 1712.09962

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

Benjamin Dodson·Jason Murphy
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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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Benjamin Dodson, Jason Murphy. 2017-12-28. A new proof of scattering below the ground state for the non-radial focusing NLS. https://arxiv.org/abs/1712.09962

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