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arXiv · 2103.09291

On the Benjamin-Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions

Patrick Gérard·Thomas Kappeler·Petar Topalov
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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 $C^\infty$-smooth.

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Patrick Gérard, Thomas Kappeler, Petar Topalov. 2021-03-16. On the Benjamin-Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions. https://arxiv.org/abs/2103.09291

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