Sharp well-posedness results of the Benjamin-Ono equation in \(H^s(\mathbb{T},\mathbb{R})\) and qualitative properties of its solutions

DOI10.4310/ACTA.2023.V231.N1.A2arXiv2004.04857OpenAlexW4387197087MaRDI QIDQ6068529

Patrick Gérard, Peter J. Topalov, Thomas Kappeler

Publication date: 15 December 2023

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04857

zbMATH Keywords

well-posednessperiodic boundary conditionscritical Sobolev exponentBenjamin-Ono equationalmost periodicity of solutionsorbital stability of traveling waves

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Almost and pseudo-almost periodic solutions to PDEs (35B15) Integro-partial differential equations (35R09) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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