dc.contributor.author | Ehrnstrom, Mats | |
dc.contributor.author | Pei, Long | |
dc.date.accessioned | 2019-01-16T07:41:44Z | |
dc.date.available | 2019-01-16T07:41:44Z | |
dc.date.created | 2018-11-08T15:16:04Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Journal of evolution equations (Printed ed.). 2018, 18 (3), 1147-1171. | nb_NO |
dc.identifier.issn | 1424-3199 | |
dc.identifier.uri | http://hdl.handle.net/11250/2580783 | |
dc.description.abstract | For both localized and periodic initial data, we prove local existence in classical energy space Hs,s > 3 2 , for a class of dispersive equations ut +(n(u))x +Lux = 0 with nonlinearities of mild regularity. Our results are valid for symmetric Fourier multiplier operators L whose symbol is of temperate growth, and n(·) in the local Sobolev space Hs+2 loc (R). In particular, the results include non-smooth and exponentially growing nonlinearities. Our proof is based on a combination of semigroup methods and a new composition result for Besov spaces. In particular, we extend a previous result for Nemytskii operators on Besov spaces on R to the periodic setting by using the difference–derivative characterization of Besov spaces. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Springer Verlag | nb_NO |
dc.relation.uri | 10.1007/s00028-018-0435-5 | |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Classical well-posedness in dispersive equations with nonlinearities of mild regularity, and a composition theorem in Besov spaces | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.source.pagenumber | 1147-1171 | nb_NO |
dc.source.volume | 18 | nb_NO |
dc.source.journal | Journal of evolution equations (Printed ed.) | nb_NO |
dc.source.issue | 3 | nb_NO |
dc.identifier.doi | 10.1007/s00028-018-0435-5 | |
dc.identifier.cristin | 1628440 | |
dc.relation.project | Norges forskningsråd: 231668 | nb_NO |
dc.relation.project | Norges forskningsråd: 250070 | nb_NO |
dc.description.localcode | © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.fulltext | preprint | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |