Existence and decay of solutions to a viscoelastic plate equation
In this article we study the fourth-order viscoelastic plate equation $$ u_{tt} + \Delta^2 u -\int_0^t g(t-\tau)\Delta^2u(\tau)d\tau = 0 $$ in the bounded domain $\Omega=(0,\pi)\times(-\ell,\ell)\subset\mathbb{R}^2$ with non traditional boundary conditions. We establish the well-posedness and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/22/abstr.html |
| _version_ | 1817995718630047744 |
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| author | Salim A. Messaoudi Soh Edwin Mukiawa |
| author_facet | Salim A. Messaoudi Soh Edwin Mukiawa |
| author_sort | Salim A. Messaoudi |
| collection | DOAJ |
| description | In this article we study the fourth-order viscoelastic plate equation
$$
u_{tt} + \Delta^2 u -\int_0^t g(t-\tau)\Delta^2u(\tau)d\tau = 0
$$
in the bounded domain $\Omega=(0,\pi)\times(-\ell,\ell)\subset\mathbb{R}^2$
with non traditional boundary conditions. We establish the well-posedness
and a decay result. |
| first_indexed | 2024-04-14T02:10:48Z |
| format | Article |
| id | doaj.art-d58dd3e238f4492b91a7b21e303989e0 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-14T02:10:48Z |
| publishDate | 2016-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d58dd3e238f4492b91a7b21e303989e02022-12-22T02:18:26ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-01-01201622,114Existence and decay of solutions to a viscoelastic plate equationSalim A. Messaoudi0Soh Edwin Mukiawa1 King Fahd Univ., Dhahran, Saudi Arabia King Fahd Univ., Dhahran, Saudi Arabia In this article we study the fourth-order viscoelastic plate equation $$ u_{tt} + \Delta^2 u -\int_0^t g(t-\tau)\Delta^2u(\tau)d\tau = 0 $$ in the bounded domain $\Omega=(0,\pi)\times(-\ell,\ell)\subset\mathbb{R}^2$ with non traditional boundary conditions. We establish the well-posedness and a decay result.http://ejde.math.txstate.edu/Volumes/2016/22/abstr.htmlExistencedecayplate viscoelasticfourth order |
| spellingShingle | Salim A. Messaoudi Soh Edwin Mukiawa Existence and decay of solutions to a viscoelastic plate equation Electronic Journal of Differential Equations Existence decay plate viscoelastic fourth order |
| title | Existence and decay of solutions to a viscoelastic plate equation |
| title_full | Existence and decay of solutions to a viscoelastic plate equation |
| title_fullStr | Existence and decay of solutions to a viscoelastic plate equation |
| title_full_unstemmed | Existence and decay of solutions to a viscoelastic plate equation |
| title_short | Existence and decay of solutions to a viscoelastic plate equation |
| title_sort | existence and decay of solutions to a viscoelastic plate equation |
| topic | Existence decay plate viscoelastic fourth order |
| url | http://ejde.math.txstate.edu/Volumes/2016/22/abstr.html |
| work_keys_str_mv | AT salimamessaoudi existenceanddecayofsolutionstoaviscoelasticplateequation AT sohedwinmukiawa existenceanddecayofsolutionstoaviscoelasticplateequation |