Sharp Global well-posedness for KdV and modified KdV on $\mathbb{R}$ and $\T$

J. Colliander, M. Keel, G. Staffilani +2

The initial value problems for the Korteweg-de Vries (KdV) and modified KdV (mKdV) equations under periodic and decaying boundary conditions are considered. These initial value pro…