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dc.contributor.authorCompaan, Erin
dc.contributor.authorLucà, Renato
dc.contributor.authorStaffilani, Gigliola
dc.date.accessioned2021-10-27T19:52:16Z
dc.date.available2021-10-27T19:52:16Z
dc.date.issued2020
dc.identifier.urihttps://hdl.handle.net/1721.1/133347
dc.description.abstract<jats:title>Abstract</jats:title> <jats:p>In this paper we address the question of the pointwise almost everywhere limit of nonlinear Schrödinger flows to the initial data, in both the continuous and the periodic settings. Then we show how, in some cases, certain smoothing effects for the non-homogeneous part of the solution can be used to upgrade to a uniform convergence to zero of this part, and we discuss the sharpness of the results obtained. We also use randomization techniques to prove that with much less regularity of the initial data, both in continuous and the periodic settings, almost surely one obtains uniform convergence of the nonlinear solution to the initial data, hence showing how more generic results can be obtained.</jats:p>
dc.language.isoen
dc.publisherOxford University Press (OUP)
dc.relation.isversionof10.1093/IMRN/RNAA036
dc.rightsCreative Commons Attribution-Noncommercial-Share Alike
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.sourcearXiv
dc.titlePointwise Convergence of the Schrödinger Flow
dc.typeArticle
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematics
dc.relation.journalInternational Mathematics Research Notices
dc.eprint.versionAuthor's final manuscript
dc.type.urihttp://purl.org/eprint/type/JournalArticle
eprint.statushttp://purl.org/eprint/status/PeerReviewed
dc.date.updated2021-06-01T15:48:39Z
dspace.orderedauthorsCompaan, E; Lucà, R; Staffilani, G
dspace.date.submission2021-06-01T15:48:41Z
mit.journal.volume2021
mit.journal.issue1
mit.licenseOPEN_ACCESS_POLICY
mit.metadata.statusAuthority Work and Publication Information Needed


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