Journal article
Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions
Journal of functional analysis, Vol.256(6), pp.1928-1961
2009
DOI: 10.1016/j.jfa.2008.12.007
Abstract
In [T. Duyckaerts, F. Merle, Dynamic of threshold solutions for energy-critical NLS, preprint,
arXiv:0710.5915 [math.AP]], T. Duyckaerts and F. Merle studied the variational structure near the ground state solution
W of the energy critical NLS and classified the solutions with the threshold energy
E
(
W
)
in dimensions
d
=
3
,
4
,
5
under the radial assumption. In this paper, we extend the results to all dimensions
d
⩾
6
. The main issue in high dimensions is the non-Lipschitz continuity of the nonlinearity which we get around by making full use of the decay property of
W.
Details
- Title: Subtitle
- Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions
- Creators
- Dong Li - Princeton UniversityXiaoyi Zhang - Princeton University
- Resource Type
- Journal article
- Publication Details
- Journal of functional analysis, Vol.256(6), pp.1928-1961
- DOI
- 10.1016/j.jfa.2008.12.007
- ISSN
- 0022-1236
- eISSN
- 1096-0783
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 2009
- Academic Unit
- Mathematics
- Record Identifier
- 9984240878602771
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