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dc.contributor.authorKishimoto, Nobuen
dc.contributor.alternative岸本, 展ja
dc.date.accessioned2022-08-12T00:30:16Z-
dc.date.available2022-08-12T00:30:16Z-
dc.date.issued2022-08-
dc.identifier.urihttp://hdl.handle.net/2433/275858-
dc.description.abstractWe show that the solution (in the sense of distribution) to the Cauchy problem with the periodic boundary condition associated with the modified Benjamin–Ono equation is unique in L∞t(Hs(T)) for s>1/2⁠. The proof is based on the analysis of a normal form equation obtained by infinitely many reduction steps using integration by parts in time after a suitable gauge transform.en
dc.language.isoeng-
dc.publisherOxford University Press (OUP)en
dc.rightsThis is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record [Nobu Kishimoto, Unconditional uniqueness for the periodic modified Benjamin–Ono equation by normal form approach, International Mathematics Research Notices, Volume 2022, Issue 16, August 2022, Pages 12180–12219] is available online at: https://doi.org/10.1093/imrn/rnab079.en
dc.rightsThe full-text file will be made open to the public on 19 April 2022 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.en
dc.rightsThis is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。en
dc.titleUnconditional uniqueness for the periodic modified Benjamin–Ono equation by normal form approachen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.jtitleInternational Mathematics Research Noticesen
dc.identifier.volume2022-
dc.identifier.issue16-
dc.identifier.spage12180-
dc.identifier.epage12219-
dc.relation.doi10.1093/imrn/rnab079-
dc.textversionauthor-
dcterms.accessRightsopen access-
datacite.date.available2022-04-19-
datacite.awardNumber24740086-
datacite.awardNumber16K17626-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24740086/-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K17626/-
dc.identifier.pissn1073-7928-
dc.identifier.eissn1687-0247-
jpcoar.funderName日本学術振興会ja
jpcoar.funderName日本学術振興会ja
jpcoar.awardTitle非線形分散型方程式の初期値問題に対する空間周期的な解の存在と大域挙動ja
jpcoar.awardTitle非線形分散型波動方程式における共鳴相互作用の構造と解の挙動・特異性の研究ja
出現コレクション:学術雑誌掲載論文等

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