dc.contributor.author | Staffilani, Gigliola | |
dc.contributor.author | Yu, Xueying | |
dc.date.accessioned | 2021-10-27T20:23:26Z | |
dc.date.available | 2021-10-27T20:23:26Z | |
dc.date.issued | 2020 | |
dc.identifier.uri | https://hdl.handle.net/1721.1/135430 | |
dc.description.abstract | © 2020 Author(s). In this paper, we first prove that the cubic, defocusing nonlinear Schrödinger equation on the two dimensional hyperbolic space with radial initial data in Hs(H2) is globally well-posed and scatters when s > 3/4. Then, we extend the result to nonlinearities of order p > 3. The result is proved by extending the high-low method of Bourgain in the hyperbolic setting and by using a Morawetz type estimate proved by Staffilani and Ionescu. | |
dc.language.iso | en | |
dc.publisher | AIP Publishing | |
dc.relation.isversionof | 10.1063/5.0012061 | |
dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
dc.source | arXiv | |
dc.title | On the high–low method for NLS on the hyperbolic space | |
dc.type | Article | |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
dc.relation.journal | Journal of Mathematical Physics | |
dc.eprint.version | Original manuscript | |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
eprint.status | http://purl.org/eprint/status/NonPeerReviewed | |
dc.date.updated | 2021-06-01T15:32:39Z | |
dspace.orderedauthors | Staffilani, G; Yu, X | |
dspace.date.submission | 2021-06-01T15:32:40Z | |
mit.journal.volume | 61 | |
mit.journal.issue | 8 | |
mit.license | OPEN_ACCESS_POLICY | |
mit.metadata.status | Authority Work and Publication Information Needed | |