Luiz Gustavo Farah, Marcia Scialom
Published 2009-06-22, updated 2009-08-07Version 2
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}.
Comments: 11 pages, no figures. Some minor typos have been corrected. To appear Proceedings of AMS
Journal: Proceedings of the American Mathematical Society Volume 138, Number 3, March 2010, Pages 953-964
Local solutions in Sobolev spaces with negative indices for the "good" Boussinesq equation
An ill-posedness result for the Boussinesq equation
Well-posedness and nonlinear smoothing for the "good" Boussinesq equation on the half-line
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