The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces
We consider the mass-subcritical NLS in dimensions d ≥ 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.
R. Killip et al., "The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces," Discrete and Continuous Dynamical Systems - Series A, vol. 39, no. 1, pp. 553-583, American Institute of Mathematical Sciences, Jan 2019.
The definitive version is available at https://doi.org/10.3934/dcds.2019023
Mathematics and Statistics
Keywords and Phrases
Mass-subcritical.; Nonlinear Schrodinger equation; Scattering
International Standard Serial Number (ISSN)
Article - Journal
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