Persistence of solutions to the Derivative Nonlinear Schrödinger equation in weighted Sobolev spaces

Alejandro J. Castro, Khumoyun Jabbarkhanov, Azamat Kassimbekov

In this paper we show the persistence property for solutions of the derivative nonlinear Schrödinger equation with initial data in weighted Sobolev spaces $H^{2}(\mathbb{R})\cap L^…