MR2668514 Yin Yin Su WIN Yin Yin Su WIN Global Well-Posedness of the Derivative Nonlinear Schrödinger Equations on $\mathbf{T}$ Funkcialaj Ekvacioj. Serio Internacia 53 2010 51--88 http://fe.math.kobe-u.ac.jp/FE/FullPapers/53-1/53_51.pdf http://www.ams.org/mathscinet-getitem?mr=MR2668514 We prove the global well-posedness for the Cauchy problem of the derivative nonlinear Schrödinger equation in $H^s(\mathbf{T})$ for $s>1/2$ with small data in $L^2$. We use the method of almost conserved energy or the $I$-method which was introduced by Colliander et al. and refine the bilinear estimate. Global well-posed, Derivative nonlinear Schrödinger equations, Periodic case. 35Q55. 53-51 2010 Global Well-Posedness of the Derivative Nonlinear Schrödinger Equations on $\mathbf{T}$ Yin Yin Su WIN Yin Yin Su WIN
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