Global Existence for the Derivative Nonlinear Schrödinger Equation with Arbitrary Spectral Singularities

Robert Jenkins, Jiaqi Liu, Peter Perry +1

We show that the derivative nonlinear Schrödinger (DNLS) equation is globally well-posed in the weighted Sobolev space $H^{2,2}(\mathbb{R})$. Our result exploits the complete integ…