Journal article
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d⩾2
Science China. Mathematics, Vol.55(2), pp.385-434
02/08/2012
DOI: 10.1007/s11425-012-4359-1
Abstract
For the focusing mass-critical NLS
, it is conjectured that the only global non-scattering solution with ground state mass must be a solitary wave up to symmetries of the equation. In this paper, we settle the conjecture for
H
x
1
initial data in dimensions
d
= 2, 3 with spherical symmetry and
d
⩾ 4 with certain splitting-spherically symmetric initial data.
Details
- Title: Subtitle
- On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d⩾2
- Creators
- Dong Li - University of British ColumbiaXiaoYi Zhang - Institute of Applied Mathematics
- Resource Type
- Journal article
- Publication Details
- Science China. Mathematics, Vol.55(2), pp.385-434
- Publisher
- SP Science China Press
- DOI
- 10.1007/s11425-012-4359-1
- ISSN
- 1674-7283
- eISSN
- 1869-1862
- Language
- English
- Date published
- 02/08/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9984241037302771
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