The radial mass-subcritical NLS in negative order Sobolev spaces
Analysis of PDEs
2019-02-04 v1
Abstract
We consider the mass-subcritical NLS in dimensions 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.
Keywords
Cite
@article{arxiv.1804.06753,
title = {The radial mass-subcritical NLS in negative order Sobolev spaces},
author = {Rowan Killip and Satoshi Masaki and Jason Murphy and Monica Visan},
journal= {arXiv preprint arXiv:1804.06753},
year = {2019}
}
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31 pages