Séminaire Analyse Numérique et EDP

On the low regularity phase space of the Benjamin-Ono equation

22

June 2023

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.)