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- Publisher
- Springer Journals
- Copyright
- Copyright © 2014 by Springer Basel
- Subject
- Mathematics; Analysis
- ISSN
- 1424-3199
- eISSN
- 1424-3202
- DOI
- 10.1007/s00028-014-0240-8
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we prove new multilinear Strichartz estimates, which are obtained by using techniques of Bourgain. These estimates lead to new critical well-posedness results for the nonlinear Schrödinger equation on irrational tori in two and three dimensions with small initial data. In three dimensions, this includes the energy critical case. This extends recent work of Guo–Oh–Wang.
Journal
Journal of Evolution Equations – Springer Journals
Published: Dec 1, 2014