Thierry Laurens

collaborators

Showing math.APShow all

2 papers · 1 filter

math.AP2025

On the well-posedness of the intermediate nonlinear Schrödinger equation on the line

Andreia Chapouto, Justin Forlano, Thierry Laurens

We consider a family of intermediate nonlinear Schrödinger equations (INLS) on the real line, which includes the continuum Calogero-Moser models (CCM). We prove that INLS is locall…

math.AP2025

Global well-posedness for the ILW equation in $H^{s} (T)$ for $s > - \frac{1}{2}$

Louise Gassot, Thierry Laurens

We prove that the intermediate long wave (ILW) equation is globally well-posed in the Sobolev spaces $H^{s} (T)$ for $s > - \frac{1}{2}$ . The previous record for well-posedness wa…

On the well-posedness of the intermediate nonlinear Schrödinger equation on the line

Global well-posedness for the ILW equation in Hs(T) for s>−21​

Global well-posedness for the ILW equation in $H^{s} (T)$ for $s > - \frac{1}{2}$