On the periodic "good" Boussinesq equation
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🧮 math.AP
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equationboussinesqgoodperiodiccasecitedatafarah
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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}.
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