Journal article
On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class
SIAM journal on mathematical analysis, Vol.39(1), pp.34-56
01/01/2007
DOI: 10.1137/060663969
Abstract
We consider the focusing mass-critical nonlinear Schrodinger equation and prove that blowup solutions to this equation with initial data in H-s(R-d), s > s(0)(d) and d >= 3, concentrate at least the mass of the ground state at the blowup time. This extends recent work by Colliander et al. [Math. Res. Lett., 12 ( 2005), pp. 357-375], Hmidi and Keraani [Remarks on the Blowup for the L-2-Critical Nonlinear Schrodinger Equations, preprint], and Tzirakis [SIAM J. Math. Anal., 37 (2006), pp. 1923-1946] on the blowup of the two-dimensional and one-dimensional mass-critical focusing nonlinear Schrodinger equation below the energy space to all dimensions d >= 3.
Details
- Title: Subtitle
- On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class
- Creators
- Monica VisanXiaoyi Zhang
- Resource Type
- Journal article
- Publication Details
- SIAM journal on mathematical analysis, Vol.39(1), pp.34-56
- Publisher
- SIAM PUBLICATIONS
- DOI
- 10.1137/060663969
- ISSN
- 0036-1410
- eISSN
- 1095-7154
- Number of pages
- 23
- Language
- English
- Date published
- 01/01/2007
- Academic Unit
- Mathematics
- Record Identifier
- 9984240872402771
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