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The global well-posedness of rough solutions to the Cauchy problem for the Davey-Stewartson system is obtained. It reads that ifthe initial data is in Hs with s > 2/5, then there exists a global solution in time, and the Hs norm of the solution obeys polynomial-in-time bounds. The newingredient in this paper is an interaction Morawetz estimate, which generates a new space-time Lt,x4 estimate for nonlinear equation with the relatively general defocusing power nonlinearity

Global Analysis for Rough Solutions to the Davey-Stewartson System