Well-posedness in H^1 for the (generalized) Benjamin-Ono equation on the circle

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107470We prove the local well posedness of the Benjamin-Ono equation and the generalized Benjamin-Ono equation in $ H^1(\T) $. This leads to a global well-posedness result in $ H^1(\T)$ for the Benjamin-Ono equation.27 pagesAnalysis of PDEs35A05; 35Q53Well-posedness in H^1 for the (generalized) Benjamin-Ono equation on the circletext