Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi Equation
It is shown that a strong solution of the Degasperis-Procesi equation possesses persistence property in the sense that the solution with algebraically decaying initial data and its spatial derivative must retain this property. Moreover, we give estimates of measure for the momentum support.
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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/10.1155/2013/390132 |
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| _version_ | 1849307294501699584 |
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| author | Zhengguang Guo Liangbing Jin |
| author_facet | Zhengguang Guo Liangbing Jin |
| author_sort | Zhengguang Guo |
| collection | DOAJ |
| description | It is shown that a strong solution of the Degasperis-Procesi equation possesses persistence property in the sense that the solution with algebraically decaying initial data and its spatial derivative must retain this property. Moreover, we give estimates of measure for the momentum support. |
| format | Article |
| id | doaj-art-22cb4965ebcf4200ae74b11511c81642 |
| 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-22cb4965ebcf4200ae74b11511c816422025-08-20T03:54:48ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/390132390132Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi EquationZhengguang Guo0Liangbing Jin1College of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang 325035, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaIt is shown that a strong solution of the Degasperis-Procesi equation possesses persistence property in the sense that the solution with algebraically decaying initial data and its spatial derivative must retain this property. Moreover, we give estimates of measure for the momentum support.http://dx.doi.org/10.1155/2013/390132 |
| spellingShingle | Zhengguang Guo Liangbing Jin Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi Equation Abstract and Applied Analysis |
| title | Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi Equation |
| title_full | Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi Equation |
| title_fullStr | Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi Equation |
| title_full_unstemmed | Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi Equation |
| title_short | Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi Equation |
| title_sort | persistence property and estimate on momentum support for the integrable degasperis procesi equation |
| url | http://dx.doi.org/10.1155/2013/390132 |
| work_keys_str_mv | AT zhengguangguo persistencepropertyandestimateonmomentumsupportfortheintegrabledegasperisprocesiequation AT liangbingjin persistencepropertyandestimateonmomentumsupportfortheintegrabledegasperisprocesiequation |