Several dynamic properties of solutions to a generalized Camassa-Holm equation (Q369803)
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scientific article; zbMATH DE number 6209225
| Language | Label | Description | Also known as |
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| English | Several dynamic properties of solutions to a generalized Camassa-Holm equation |
scientific article; zbMATH DE number 6209225 |
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Several dynamic properties of solutions to a generalized Camassa-Holm equation (English)
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19 September 2013
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Summary: For a nonlinear generalization of the Camassa-Holm equation, we investigate the dynamic properties of solutions for the equation under the assumption that the initial value \(u_0(x)\) lies in the space \(H^1(\mathbb R)\). A one-sided upper bound estimate on the first-order spatial derivative, \(L^p\) bound estimate, and a space-time higher-norm estimate for the solutions are obtained.
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