Affiliation:
1. School of Mathematical Sciences Peking University Beijing China
Abstract
AbstractWe study the Cauchy problem for the generalized Korteweg–de Vries (KdV) and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations, for which the global well‐posedness of solutions with small rough data in certain scaling limit of modulation spaces is shown, which contain some data with infinite L2 norm.