Journal article
THE MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION WITH RADIAL DATA IN DIMENSIONS THREE AND HIGHER
Analysis & PDE, Vol.1(2), pp.229-266
01/01/2008
DOI: 10.2140/apde.2008.1.229
Abstract
We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Schrodinger equation iu(t)+Delta u = +/-vertical bar u vertical bar(4/d)u for large spherically symmetric L-x(2)(R-d) initial data in dimensions d >= 3. In the focusing case we require that the mass is strictly less than that of the ground state. As a consequence, we obtain that in the focusing case, any spherically symmetric blowup solution must concentrate at least the mass of the ground state at the blowup time.
Details
- Title: Subtitle
- THE MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION WITH RADIAL DATA IN DIMENSIONS THREE AND HIGHER
- Creators
- Rowan Killip - 520 Portola Plaza, Math Sciences Building 6363, Mailcode: 155505, Los Angeles, CA 90095, United StatesMonica Visan - University of ChicagoXiaoyi Zhang - Princeton University
- Resource Type
- Journal article
- Publication Details
- Analysis & PDE, Vol.1(2), pp.229-266
- Publisher
- MATHEMATICAL SCIENCE PUBL
- DOI
- 10.2140/apde.2008.1.229
- ISSN
- 1948-206X
- eISSN
- 1948-206X
- Number of pages
- 38
- Grant note
- Sloan Foundation DMS-0701085; DMS-0401277; NSF-10601060; DMS-0111298 / NSF Project 973 in China
- Language
- English
- Date published
- 01/01/2008
- Academic Unit
- Mathematics
- Record Identifier
- 9984241055702771
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