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arXiv · 1804.06753

The radial mass-subcritical NLS in negative order Sobolev spaces

Rowan Killip·Satoshi Masaki·Jason Murphy·Monica Visan
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Abstract

We consider the mass-subcritical NLS in dimensions $d\geq 3$ with radial initial data. In the defocusing case, we prove that any solution that remains bounded in the critical Sobolev space throughout its lifespan must be global and scatter. In the focusing case, we prove the existence of a threshold solution that has a compact flow.

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Rowan Killip, Satoshi Masaki, Jason Murphy, Monica Visan. 2018-04-18. The radial mass-subcritical NLS in negative order Sobolev spaces. https://arxiv.org/abs/1804.06753

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