|Title:||Unconditional uniqueness for the periodic modified Benjamin–Ono equation by normal form approach|
|Authors:||Kishimoto, Nobu https://orcid.org/0000-0003-2521-9976 (unconfirmed)|
|Author's alias:||岸本, 展|
|Publisher:||Oxford University Press (OUP)|
|Journal title:||International Mathematics Research Notices|
|Abstract:||We 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.|
|Rights:||This 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.|
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|Appears in Collections:||Journal Articles|
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