On existence and uniqueness of the global weak solution for a shallow water equation
A shallow water equation including the Camassa–Holm and Degasperis–Procesi equations as special cases is investigated. Provided that initial value uo ε H1 (R), uo ε L1 (R), and (1 - 2x)uo does not change sign, the existence and uniqueness of global weak solution for the equation are established....
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier Inc.
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/39880 |
| _version_ | 1848755714686713856 |
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| author | Guo, Y. Lai, S. Wu, Yong Hong |
| author_facet | Guo, Y. Lai, S. Wu, Yong Hong |
| author_sort | Guo, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A shallow water equation including the Camassa–Holm and Degasperis–Procesi equations as special cases is investigated. Provided that initial value uo ε H1 (R), uo ε L1 (R), and (1 - 2x)uo does not change sign, the existence and uniqueness of global weak solution for the equation are established. |
| first_indexed | 2025-11-14T09:00:42Z |
| format | Journal Article |
| id | curtin-20.500.11937-39880 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:00:42Z |
| publishDate | 2012 |
| publisher | Elsevier Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-398802017-09-13T14:30:53Z On existence and uniqueness of the global weak solution for a shallow water equation Guo, Y. Lai, S. Wu, Yong Hong a shallow water wave equation global weak solution uniqueness existence A shallow water equation including the Camassa–Holm and Degasperis–Procesi equations as special cases is investigated. Provided that initial value uo ε H1 (R), uo ε L1 (R), and (1 - 2x)uo does not change sign, the existence and uniqueness of global weak solution for the equation are established. 2012 Journal Article http://hdl.handle.net/20.500.11937/39880 10.1016/j.amc.2012.05.029 Elsevier Inc. restricted |
| spellingShingle | a shallow water wave equation global weak solution uniqueness existence Guo, Y. Lai, S. Wu, Yong Hong On existence and uniqueness of the global weak solution for a shallow water equation |
| title | On existence and uniqueness of the global weak solution for a shallow water equation |
| title_full | On existence and uniqueness of the global weak solution for a shallow water equation |
| title_fullStr | On existence and uniqueness of the global weak solution for a shallow water equation |
| title_full_unstemmed | On existence and uniqueness of the global weak solution for a shallow water equation |
| title_short | On existence and uniqueness of the global weak solution for a shallow water equation |
| title_sort | on existence and uniqueness of the global weak solution for a shallow water equation |
| topic | a shallow water wave equation global weak solution uniqueness existence |
| url | http://hdl.handle.net/20.500.11937/39880 |