Global well-posedness and scattering for Derivative Schrödinger equation

Abstract

In this paper we study the Cauchy problem for the elliptic and non-elliptic derivative nonlinear Schrödinger equations in higher spatial dimensions ($n\ge 2$) and some global well-posedness results with small initial data in critical Besov spaces $B_{2,1}^s$ are obtained. As by-products, the scattering results with small initial data are also obtained.

26 pages

References in corpus (2)

• Global well posedness and scattering for the elliptic and non-elliptic derivative nonlinear Schrodinger equations with small data
• Local well-posedness for hyperbolic-elliptic Ishimori equation