Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation
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 u0(x) lies in the space H1(R). A one-sided upper bound estimate on the first-order spatial derivative, Lp bound estimate, and a...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/247841 |
| 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 u0(x) lies in the space H1(R). A one-sided upper bound estimate on the first-order spatial derivative, Lp bound estimate, and a space-time higher-norm estimate for the solutions
are obtained. |
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| ISSN: | 1085-3375 1687-0409 |