Ill-posedness for the \(b\)-family of equations (Q347064)
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scientific article; zbMATH DE number 6657768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ill-posedness for the \(b\)-family of equations |
scientific article; zbMATH DE number 6657768 |
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Ill-posedness for the \(b\)-family of equations (English)
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30 November 2016
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The work shows that the Cauchy problem for the \(b\)-family of equations is ill-posed in Sobolev spaces \(H^s\) with \(s<3/2\), on both torus and the line for the case \(b>1\), which includes the case \(b=3\), the Degasperis-Procesi equation.
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integral equation
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ill-posed Cauchy problem
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