Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\) (Q2119804)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\) |
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Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\) (English)
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30 March 2022
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The main result is the global well-posedness of the fifth order KdV equation in the Sobolev space \(H^{-1}(\mathbb{R})\). The arguments are based on a delicate local smoothing effect for this dispersive equation.
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fifth order Korteweg-de Vries equation
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well-posedness
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local smoothing effect
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