Global Well-Posedness and Scattering for the Elliptic-Elliptic Davey-Stewartson System at $L^2$-Critical Regularity

Matthew Rosenzweig

In this paper, we prove global well-posedness and scattering of the Cauchy problem for the elliptic-elliptic Davey-Stewartson system (eeDS) for initial data $u_{0}\in L^{2}(\mathbb…