Global well-posedness and scattering for Derivative Schrödinger equation
Wang, Baoxiang · Wang, Yuzhao
Original · EN
In this paper we study the Cauchy problem for the elliptic and non-elliptic derivative nonlinear Schrödinger equations in higher spatial dimensions (n≥ 2) and some global well-posedness results with small initial data in critical Besov spaces Bˢ₂,₁ are obtained. As by-products, the scattering results with small initial data are also obtained.
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