Séminaire Analyse Numérique et EDP
On the low regularity phase space of the Benjamin-Ono equation
June 2023
Intervenant : Peter Topalov
Institution : Northeastern University
Heure : 15h30 - 16h30
Lieu : 3L8

Abstract: I will discuss the global in time well-posedness of the Benjamin-Ono equation in the Hilbert space

$H^{-1/2,\sqrt{\log}}(\mathbb{T},\mathbb{R})$ of periodic distributions in $H^{-1/2}(\mathbb{T},\mathbb{R})$ with $\sqrt{\log}$-weights.

The space $H^{-1/2,\sqrt{\log}}(\mathbb{T},\mathbb{R})$ can be considered as the largest (low regularity) phase space corresponding to the scale $H^s(\mathbb{T},\mathbb{R})$, $s>-1/2$. (This is a joint work with P. Gérard.)

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