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math.AP2016★ 3 cited
Local Well-Posedness for the Derivative Nonlinear Schrödinger Equations with Subcritical Data
Shaoming Guo, Xianfeng Ren, Baoxiang Wang
We will show its local well-posedness in modulation spaces $M^{1/2}_{2,q}({\Real})$ . It is well-known that is a critical Sobolev space of DNLS so that…
math.AP2014
On the 1D Cubic Nonlinear Schrodinger Equation in an Almost Critical Space
Shaoming Guo
We obtain the local well-posedness of the one dimensional cubic nonlinear Schrödinger Equation for initial data in the modulation space for all , which co…