5 papers
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}…
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-…
On the convergence of explicit formulas for solutions to the Benjamin-Ono and continuum Calogero-Moser equations
Yvonne Alama Bronsard, Thierry Laurens
By developing discrete counterparts to recent advances in nonlinear integrability, and in particular to the discovery of explicit formulas, we design and analyze fully-discrete app…
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…
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…