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- Title
Smoothing property for the L<sup>2</sup>-critical high-order NLS Ⅱ.
- Authors
Bensouilah, Abdelwahab; Keraani, Sahbi
- Abstract
The paper reconsiders the issue of the regularity of the Duhamel part of the solution to the L2-critical high-order NLS already studied by the authors in [4]. This model includes the mass critical 4D fourth order NLS. The improvement is due to the use of a more sophisticated space involving a nonlinear term and taking profit of a suitable trilinear Strichartz estimate.
- Subjects
NONLINEAR theories; MATHEMATICAL analysis; MATHEMATICAL physics; TRILINEAR forms; HIGH-order derivatives (Mathematics)
- Publication
Discrete & Continuous Dynamical Systems: Series A, 2019, Vol 39, Issue 5, p2961
- ISSN
1078-0947
- Publication type
Article
- DOI
10.3934/dcds.2019123