On the periodic "good" Boussinesq equation

preprint2009arXivOpen access

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>−1/4s>-1/4, the same range of the real case obtained in Farah \cite{LG4}.

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