| dc.contributor.author | Ehrnstrom, Mats | |
| dc.contributor.author | Wang, Yuexun | |
| dc.date.accessioned | 2020-10-28T12:51:33Z | |
| dc.date.available | 2020-10-28T12:51:33Z | |
| dc.date.created | 2019-08-07T15:50:51Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | SIAM Journal on Mathematical Analysis. 2019, 51 (4), 3298-3323. | en_US |
| dc.identifier.issn | 0036-1410 | |
| dc.identifier.uri | https://hdl.handle.net/11250/2685513 | |
| dc.description.abstract | We consider the fractional Korteweg–de Vries equation ut+ uux−|D| αux = 0 in the range of −1 < α < 1, α 6= 0. Using basic Fourier techniques in combination with the modified energy method we extend the existence time of classical solutions with initial data of size ε from 1 ε to a time scale of 1 ε2 . This analysis, which is carried out in Sobolev space HN (R), N ≥ 3, answers positively a question posed by Linares, Pilod and Saut in [SIAM J. Math. Anal., 46 (2014), pp. 1505--1537]. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Society for Industrial and Applied Mathematics | en_US |
| dc.title | Enhanced existence time of solutions to the fractional Korteweg de Vries equation | en_US |
| dc.type | Peer reviewed | en_US |
| dc.type | Journal article | en_US |
| dc.description.version | acceptedVersion | en_US |
| dc.source.pagenumber | 3298-3323 | en_US |
| dc.source.volume | 51 | en_US |
| dc.source.journal | SIAM Journal on Mathematical Analysis | en_US |
| dc.source.issue | 4 | en_US |
| dc.identifier.doi | 10.1137/19M1237867 | |
| dc.identifier.cristin | 1714700 | |
| dc.relation.project | Norges forskningsråd: 231668 | en_US |
| dc.relation.project | Norges forskningsråd: 250070 | en_US |
| dc.description.localcode | © 2019, Society for Industrial and Applied Mathematics Permalink: https://doi.org/10.1137/19M1237867 Read More: https://epubs.siam.org/doi/10.1137/19M1237867 | en_US |
| cristin.ispublished | true | |
| cristin.fulltext | postprint | |
| cristin.qualitycode | 2 | |
