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math.AP2026

Sub-critical well-posedness for the intermediate nonlinear Schrödinger equation on the line

Andreia Chapouto, Justin Forlano, Thierry Laurens

We continue our study of the well-posedness theory for the intermediate nonlinear Schrödinger equation (INLS). Firstly, we prove that INLS is locally well-posed in $H^s (\mathbb{R}…

math.AP2026

Well-posedness for the periodic Intermediate nonlinear Schrödinger equation

Andreia Chapouto, Justin Forlano, Thierry Laurens

We study the well-posedness for the intermediate nonlinear Schrödinger equation (INLS) with periodic boundary conditions. Using a gauge transform, we obtain large data local well-…

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 local…

math.AP2025

Global well-posedness for the ILW equation in for

Louise Gassot, Thierry Laurens

We prove that the intermediate long wave (ILW) equation is globally well-posed in the Sobolev spaces for . The previous record for well-posedness wa…