Local Well and Ill Posedness for the Modified KdV Equations in Subcritical Modulation Spaces

Mingjuan Chen, Boling Guo

We consider the Cauchy problem of the modified KdV equation (mKdV). Local well-posedness of this problem is obtained in modulation spaces $M_{2,q}^{1/4}(\mathbb{R})$ $(2\leq q\leq\…