Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation
© 2018 Wuhan Institute of Physics and Mathematics The existence of global weak solutions for a generalized Benjamin-Bona-Mahony-Burgers equation is established in the space C([0,8)×R)nL 8 ([0,8); H 1 (R)) under the condition that its initial value belongs to the space H 1 (R). A one-sided super boun...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier BV
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/68713 |
| _version_ | 1848761871732047872 |
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| author | LI, R. LAI, C. Wu, Yong Hong |
| author_facet | LI, R. LAI, C. Wu, Yong Hong |
| author_sort | LI, R. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2018 Wuhan Institute of Physics and Mathematics The existence of global weak solutions for a generalized Benjamin-Bona-Mahony-Burgers equation is established in the space C([0,8)×R)nL 8 ([0,8); H 1 (R)) under the condition that its initial value belongs to the space H 1 (R). A one-sided super bound estimate and a space-time higher-norm estimate on the first order derivatives of the solution with respect to the space variable are derived to prove the existence. |
| first_indexed | 2025-11-14T10:38:34Z |
| format | Journal Article |
| id | curtin-20.500.11937-68713 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:38:34Z |
| publishDate | 2018 |
| publisher | Elsevier BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-687132018-06-29T12:35:14Z Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation LI, R. LAI, C. Wu, Yong Hong © 2018 Wuhan Institute of Physics and Mathematics The existence of global weak solutions for a generalized Benjamin-Bona-Mahony-Burgers equation is established in the space C([0,8)×R)nL 8 ([0,8); H 1 (R)) under the condition that its initial value belongs to the space H 1 (R). A one-sided super bound estimate and a space-time higher-norm estimate on the first order derivatives of the solution with respect to the space variable are derived to prove the existence. 2018 Journal Article http://hdl.handle.net/20.500.11937/68713 10.1016/S0252-9602(18)30792-6 Elsevier BV restricted |
| spellingShingle | LI, R. LAI, C. Wu, Yong Hong Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation |
| title | Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation |
| title_full | Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation |
| title_fullStr | Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation |
| title_full_unstemmed | Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation |
| title_short | Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation |
| title_sort | global weak solutions to a generalized benjamin-bona-mahony-burgers equation |
| url | http://hdl.handle.net/20.500.11937/68713 |