On the Benjamin-Ono equation on \mathbbT and its periodic and quasiperiodic solutions

2021/03/16 by Patrick D. Gerard, Gérard, Patrick, Thomas Kappeler +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2103.09291

openalex publication_date 2021/03/16 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

In this paper, we survey our recent results on the Benjamin-Ono equation on the torus. As an application of the methods developed we construct large families of periodic or quasiperiodic solutions, which are not C^∞-smooth.

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