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arXiv · 0906.3915

On the periodic "good" Boussinesq equation

Luiz Gustavo Farah·Marcia Scialom
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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}.

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Luiz Gustavo Farah, Marcia Scialom. 2009-06-22. On the periodic "good" Boussinesq equation. https://doi.org/10.1090/s0002-9939-09-10142-9

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