Proceedings of the Edinburgh Mathematical Society · 2006 · 26 citations · 6 references
Local Well-posednessGlobal Well-posednessLow-regularity SolutionsOstrovsky EquationGlobal AnalysisGeometric Singular Perturbation TheoryNonlinear Hyperbolic ProblemIntegrable System
Abstract The well-posedness of the Ostrovsky equation is considered. Local well-posedness for data in $\tilde{H}^s(\mathbb{R})$ $(s\geq-\frac{1}{8})$ and global well-posedness for data in $\tilde{L}^{2}(\mathbb{R})$ are obtained.
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