dc.contributor.author | Kenig, C.E. | |
dc.contributor.author | Pilod, Didier Jacques Francois | |
dc.contributor.author | Ponce, G. | |
dc.contributor.author | Vega, L. | |
dc.date.accessioned | 2021-08-09T08:40:29Z | |
dc.date.available | 2021-08-09T08:40:29Z | |
dc.date.created | 2021-01-25T16:34:41Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0360-5302 | |
dc.identifier.uri | https://hdl.handle.net/11250/2766909 | |
dc.description.abstract | We prove unique continuation properties of solutions to a large class of nonlinear, non-local dispersive equations. The goal is to show that if u1,u2 are two suitable solutions of the equation defined in Rn×[0,T] such that for some non-empty open set Ω⊂Rn×[0,T],u1(x,t)=u2(x,t) for (x,t)∈Ω, then u1(x,t)=u2(x,t) for any (x,t)∈Rn×[0,T]. The proof is based on static arguments. More precisely, the main ingredient in the proofs will be the unique continuation properties for fractional powers of the Laplacian established by Ghosh, Salo and Ulhmann, and some extensions obtained here. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Taylor and Francis | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | On the unique continuation of solutions to non-local non-linear dispersive equations | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2020 The Author(s) | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.doi | 10.1080/03605302.2020.1739707 | |
dc.identifier.cristin | 1878785 | |
dc.source.journal | Communications in Partial Differential Equations | en_US |
dc.source.pagenumber | 872-886 | en_US |
dc.identifier.citation | Communications in Partial Differential Equations. 2020, 45 (8), 872-886. | en_US |
dc.source.volume | 45 | en_US |
dc.source.issue | 8 | en_US |