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arxiv: 0805.2720 · v3 · submitted 2008-05-18 · 🧮 math.AP

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

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keywords boussinesqequationgoodindiceslocalnegativesobolevspaces
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We study the local well-posedness of the initial-value problem for the nonlinear "good" Boussinesq equation with data in Sobolev spaces \textit{$H^s$} for negative indices of $s$.

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