Global Well-posedness and Scattering for Derivative Schrödinger Equation
نویسندگان
چکیده
In this paper we mainly study the Cauchy problem for the derivative nonlinear Schrödinger equation in d-dimension (d ≥ 2). We obtain some global well-posedness results with small initial data. The crucial ingredients are L e , L ∞,2 e type estimates, and inhomogeneous local smoothing estimate (L e estimate). As a by-product, the scattering results with small initial data are also obtained.
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تاریخ انتشار 2009