On the periodic "good" Boussinesq equation

Abstract

We study the well-posedness of the initial-value problem for the periodic nonlinear "good" Boussinesq equation. We prove that this equation is local well-posed for initial data in Sobolev spaces \textit{$H^s(\T)$} for $s>-1/4$, the same range of the real case obtained in Farah \cite{LG4}.

11 pages, no figures. Some minor typos have been corrected. To appear Proceedings of AMS

References in corpus (1)

• Local solutions in Sobolev spaces with negative indices for the "good" Boussinesq equation

Cited by in corpus (2)

• Scattering in the energy space for Boussinesq equations
• Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates