P. Topalov

activity

19972026

most citedSharp well-posedness results of the Benjamin-Ono equation in

H^{s} (T, R)

and qualitative properties of its solution

10 citations · 51 across the 31 of their papers we have counts for

collaborators

Showing 2020 · math.APShow all

2 papers · 2 filters

math.AP2020★ 10 cited

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

P. Gérard, T. Kappeler, P. Topalov

We prove that the Benjamin--Ono equation on the torus is globally in time well-posed in the Sobolev space $H^{s} (T, R)$ for any $s > - 1/2$ and ill-posed for $s \l…

math.AP2020

Arnold-Liouville theorem for integrable PDEs: a case study of the focusing NLS equation

Thomas Kappeler, Peter Topalov

We prove an infinite dimensional version of the Arnold-Liouville theorem for integrable non-linear PDEs: In a case study we consider the {\em focusing} NLS equation with periodic b…

Sharp well-posedness results of the Benjamin-Ono equation in Hs(T,R) and qualitative properties of its solution

Arnold-Liouville theorem for integrable PDEs: a case study of the focusing NLS equation

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