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

Nobu Kishimoto

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arXiv · 1911.11108

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

Nobu Kishimoto

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Abstract

We show unconditional uniqueness of solutions to the Cauchy problem associated with the Benjamin-Ono equation under the periodic boundary condition with initial data given in $H^s$ for $s>1/6$. This improves the previous unconditional uniqueness result in $H^{1/2}$ by Molinet and Pilod (2012). Our proof is based on a gauge transform and integration by parts in the time variable.

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Nobu Kishimoto. 2019-11-25. Unconditional uniqueness for the periodic Benjamin-Ono equation by normal form approach. https://arxiv.org/abs/1911.11108

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