Journal article
CHARACTERIZATION OF MINIMAL-MASS BLOWUP SOLUTIONS TO THE FOCUSING MASS-CRITICAL NLS
SIAM journal on mathematical analysis, Vol.41(1), pp.219-236
01/01/2009
DOI: 10.1137/080720358
Abstract
Let d >= 4 and let u be a global solution to the focusing mass-critical nonlinear Schrodinger equation iu(t) + Delta u = -vertical bar u vertical bar(4/d) u with spherically symmetric H(x)(1) initial data and mass equal to that of the ground state Q. We prove that if u does not scatter, then, up to phase rotation and scaling, u is the solitary wave e(it)Q. Combining this result with that of Merle [Duke Math. J., 69 (1993), pp. 427 - 453], we obtain that in dimensions d >= 4, the only spherically symmetric minimal-mass nonscattering solutions are, up to phase rotation and scaling, the pseudoconformal ground state and the ground state solitary wave.
Details
- Title: Subtitle
- CHARACTERIZATION OF MINIMAL-MASS BLOWUP SOLUTIONS TO THE FOCUSING MASS-CRITICAL NLS
- Creators
- Rowan Killip - Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USADong Li - Inst Adv Study, Sch Math, Princeton, NJ 08540 USAMonica Visan - Inst Adv Study, Sch Math, Princeton, NJ 08540 USAXiaoyi Zhang - Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
- Resource Type
- Journal article
- Publication Details
- SIAM journal on mathematical analysis, Vol.41(1), pp.219-236
- Publisher
- SIAM PUBLICATIONS
- DOI
- 10.1137/080720358
- ISSN
- 0036-1410
- eISSN
- 1095-7154
- Number of pages
- 18
- Grant note
- DMS-0635607 / National Science Foundation
- Language
- English
- Date published
- 01/01/2009
- Academic Unit
- Mathematics
- Record Identifier
- 9984241053202771
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