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Unconditional uniqueness for the periodic modified Benjamin–Ono equation by normal form approach

Kishimoto, Nobu 京都大学 DOI:10.1093/imrn/rnab079

2022.08

概要

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.

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参考文献

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