Stabilization of the Wave Equation with Boundary Time-Varying Delay
We study the stabilization of the wave equation with variable coefficients in a bounded domain and a time-varying delay term in the time-varying, weakly nonlinear boundary feedbacks. By the Riemannian geometry methods and a suitable assumption of nonlinearity, we obtain the uniform decay of the ener...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/735341 |
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| _version_ | 1850107084224331776 |
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| author | Hao Li Changsong Lin Shupeng Wang Yanmei Zhang |
| author_facet | Hao Li Changsong Lin Shupeng Wang Yanmei Zhang |
| author_sort | Hao Li |
| collection | DOAJ |
| description | We study the stabilization of the wave equation with variable coefficients in a bounded domain and a time-varying delay term in the time-varying, weakly nonlinear boundary feedbacks. By the Riemannian geometry methods and a suitable assumption of nonlinearity, we obtain the uniform decay of the energy of the closed loop system. |
| format | Article |
| id | doaj-art-4cba8db2374344c1aba96a6f730ba230 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-4cba8db2374344c1aba96a6f730ba2302025-08-20T02:38:39ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/735341735341Stabilization of the Wave Equation with Boundary Time-Varying DelayHao Li0Changsong Lin1Shupeng Wang2Yanmei Zhang3School of Ocean Sciences, China University of Geosciences, Beijing 100083, ChinaSchool of Ocean Sciences, China University of Geosciences, Beijing 100083, ChinaInstitute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, ChinaSchool of Information Engineering, China University of Geosciences, Beijing 100083, ChinaWe study the stabilization of the wave equation with variable coefficients in a bounded domain and a time-varying delay term in the time-varying, weakly nonlinear boundary feedbacks. By the Riemannian geometry methods and a suitable assumption of nonlinearity, we obtain the uniform decay of the energy of the closed loop system.http://dx.doi.org/10.1155/2014/735341 |
| spellingShingle | Hao Li Changsong Lin Shupeng Wang Yanmei Zhang Stabilization of the Wave Equation with Boundary Time-Varying Delay Advances in Mathematical Physics |
| title | Stabilization of the Wave Equation with Boundary Time-Varying Delay |
| title_full | Stabilization of the Wave Equation with Boundary Time-Varying Delay |
| title_fullStr | Stabilization of the Wave Equation with Boundary Time-Varying Delay |
| title_full_unstemmed | Stabilization of the Wave Equation with Boundary Time-Varying Delay |
| title_short | Stabilization of the Wave Equation with Boundary Time-Varying Delay |
| title_sort | stabilization of the wave equation with boundary time varying delay |
| url | http://dx.doi.org/10.1155/2014/735341 |
| work_keys_str_mv | AT haoli stabilizationofthewaveequationwithboundarytimevaryingdelay AT changsonglin stabilizationofthewaveequationwithboundarytimevaryingdelay AT shupengwang stabilizationofthewaveequationwithboundarytimevaryingdelay AT yanmeizhang stabilizationofthewaveequationwithboundarytimevaryingdelay |