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Global well-posedness and scattering for Derivative Schr{o}dinger equation

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 Added by Yuzhao Wang
 Publication date 2009
  fields
and research's language is English




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



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