| dc.contributor.author | Nahmod, Andrea | |
| dc.contributor.author | Oh, Tadahiro | |
| dc.contributor.author | Rey-Bellet, Luc | |
| dc.contributor.author | Staffilani, Gigliola | |
| dc.date.accessioned | 2013-09-20T12:48:22Z | |
| dc.date.available | 2013-09-20T12:48:22Z | |
| dc.date.issued | 2012 | |
| dc.date.submitted | 2011-01 | |
| dc.identifier.issn | 1435-9855 | |
| dc.identifier.issn | 1435-9863 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/80819 | |
| dc.description | Original manuscript July 9, 2010 | en_US |
| dc.description.abstract | We construct an invariant weighted Wiener measure associated to the periodic derivative nonlinear Schrödinger equation in one dimension and establish global well-posedness for data living in its support. In particular almost surely for data in a Fourier–Lebesgue space FL[superscript s,r](\T) with s ≥ 1/2, 2 < r < 4, (s−1)r < −1 and scaling like H1/2[superscript −ϵ](T), for small ϵ>0. We also show the invariance of this measure. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (DMS 0803160) | en_US |
| dc.description.sponsorship | Radcliffe Institute for Advanced Study (Fellowship) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (DMS 0602678) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | European Mathematical Society Publishing House | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.4171/jems/333 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Nahmod, Andrea, Tadahiro Oh, Luc Rey-Bellet, and Gigliola Staffilani. “Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS.” Journal of the European Mathematical Society (2012): 1275-1330. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Nahmod, Andrea | en_US |
| dc.contributor.mitauthor | Staffilani, Gigliola | en_US |
| dc.relation.journal | Journal of the European Mathematical Society | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dspace.orderedauthors | Nahmod, Andrea; Oh, Tadahiro; Rey-Bellet, Luc; Staffilani, Gigliola | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-8220-4466 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
