On the well-posedness problem for the derivative nonlinear Schrödinger equation
On the well-posedness problem for the derivative nonlinear Schrödinger equation
We consider the derivative nonlinear Schrödinger equation in one space dimension, posed both on the line and on the circle.This model is known to be completely integrable and L 2 -critical with respect to scaling.We first discuss whether ensembles of orbits with L 2 -equicontinuous initial data remain equicontinuous under …