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 |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/247841 |
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| _version_ | 1832548066355314688 |
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| author | Zheng Yin |
| author_facet | Zheng Yin |
| author_sort | Zheng Yin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8d34d34a0faf4a19a49e7b99b2db2507 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8d34d34a0faf4a19a49e7b99b2db25072025-02-03T06:42:24ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/247841247841Several Dynamic Properties of Solutions to a Generalized Camassa-Holm EquationZheng Yin0Department of Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaFor 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.http://dx.doi.org/10.1155/2013/247841 |
| spellingShingle | Zheng Yin Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation Abstract and Applied Analysis |
| title | Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation |
| title_full | Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation |
| title_fullStr | Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation |
| title_full_unstemmed | Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation |
| title_short | Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation |
| title_sort | several dynamic properties of solutions to a generalized camassa holm equation |
| url | http://dx.doi.org/10.1155/2013/247841 |
| work_keys_str_mv | AT zhengyin severaldynamicpropertiesofsolutionstoageneralizedcamassaholmequation |