Well-posedness of scattering data for the derivative nonlinear Schrödinger equation in $H^s(\mathbb{R})$

Weifang Weng, Zhenya Yan

We prove the well-posedness results of scattering data for the derivative nonlinear Schrödinger equation in $H^s(\mathbb{R})(s\ge \frac{1}{2})$. We show that the reciprocal of the tr…