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

2019/11/25 by Nobu Kishimoto, Kishimoto, Nobu · 3 citations
Mathematics · #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1911.11108

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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