Unconditional uniqueness for the periodic Benjamin-Ono equation by normal form approach
Analysis of PDEs
2022-05-17 v2
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 for . This improves the previous unconditional uniqueness result in by Molinet and Pilod (2012). Our proof is based on a gauge transform and integration by parts in the time variable.
Cite
@article{arxiv.1911.11108,
title = {Unconditional uniqueness for the periodic Benjamin-Ono equation by normal form approach},
author = {Nobu Kishimoto},
journal= {arXiv preprint arXiv:1911.11108},
year = {2022}
}
Comments
20 pages. Minor changes made. To appear in J. Math. Anal. Appl