Global well-posedness for KdV in Sobolev Spaces of negative index

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60861The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial data in H^s({\mathbb{R}), -3/10<s.5 pages. Electronic Journal of Differential equations (submitted)Analysis of PDEs35Q53, 42B35, 37K10Global well-posedness for KdV in Sobolev Spaces of negative indextext