Global well-posedness for the ILW equation in $H^s(\mathbb{T})$ 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 $H^s(\mathbb{T})$ for $s>-\frac{1}{2}$. The previous record for well-posedness wa…