Global well-posedness for the fifth-order KdV equation in $H^{-1}(\mathbb{R})$

Bjoern Bringmann, Rowan Killip, Monica Visan

We prove global well-posedness of the fifth-order Korteweg-de Vries equation on the real line for initial data in $H^{-1}(\mathbb{R})$. By comparison, the optimal regularity for we…