A note on ill posedness for the KdV equation. (Q417016)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on ill posedness for the KdV equation. |
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A note on ill posedness for the KdV equation. (English)
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11 May 2012
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In this note we combine the Miura transform and the so-called local Kato smoothing effect to prove that the solution-map associated with the KdV equation cannot be continuously extended in \(H^s(\mathbb {R})\) for \(s<-1\).
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KdV equation
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smoothing effect
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Miura transform
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