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dc.contributor.authorStaffilani, Gigliola
dc.contributor.authorYu, Xueying
dc.date.accessioned2021-10-27T20:23:26Z
dc.date.available2021-10-27T20:23:26Z
dc.date.issued2020
dc.identifier.urihttps://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.isoen
dc.publisherAIP Publishing
dc.relation.isversionof10.1063/5.0012061
dc.rightsCreative Commons Attribution-Noncommercial-Share Alike
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.sourcearXiv
dc.titleOn the high–low method for NLS on the hyperbolic space
dc.typeArticle
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematics
dc.relation.journalJournal of Mathematical Physics
dc.eprint.versionOriginal manuscript
dc.type.urihttp://purl.org/eprint/type/JournalArticle
eprint.statushttp://purl.org/eprint/status/NonPeerReviewed
dc.date.updated2021-06-01T15:32:39Z
dspace.orderedauthorsStaffilani, G; Yu, X
dspace.date.submission2021-06-01T15:32:40Z
mit.journal.volume61
mit.journal.issue8
mit.licenseOPEN_ACCESS_POLICY
mit.metadata.statusAuthority Work and Publication Information Needed


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