Interior feedback stabilization of wave equations with time dependent delay
We study the stabilization problem by interior damping of the wave equation with boundary or internal time-varying delay feedback in a bounded and smooth domain. By introducing suitable Lyapunov functionals exponential stability estimates are obtained if the delay effect is appropriately compens...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2011-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/41/abstr.html |
| _version_ | 1818938631623016448 |
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| author | Serge Nicaise Cristina Pignotti |
| author_facet | Serge Nicaise Cristina Pignotti |
| author_sort | Serge Nicaise |
| collection | DOAJ |
| description | We study the stabilization problem by interior damping of the wave equation with boundary or internal time-varying delay feedback in a bounded and smooth domain. By introducing suitable Lyapunov functionals exponential stability estimates are obtained if the delay effect is appropriately compensated by the internal damping. |
| first_indexed | 2024-12-20T06:10:56Z |
| format | Article |
| id | doaj.art-5776776a23f24d19b3e21e9291f68f4c |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-20T06:10:56Z |
| publishDate | 2011-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-5776776a23f24d19b3e21e9291f68f4c2022-12-21T19:50:41ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-03-01201141,120Interior feedback stabilization of wave equations with time dependent delaySerge NicaiseCristina PignottiWe study the stabilization problem by interior damping of the wave equation with boundary or internal time-varying delay feedback in a bounded and smooth domain. By introducing suitable Lyapunov functionals exponential stability estimates are obtained if the delay effect is appropriately compensated by the internal damping.http://ejde.math.txstate.edu/Volumes/2011/41/abstr.htmlWave equationdelay feedbackstabilization |
| spellingShingle | Serge Nicaise Cristina Pignotti Interior feedback stabilization of wave equations with time dependent delay Electronic Journal of Differential Equations Wave equation delay feedback stabilization |
| title | Interior feedback stabilization of wave equations with time dependent delay |
| title_full | Interior feedback stabilization of wave equations with time dependent delay |
| title_fullStr | Interior feedback stabilization of wave equations with time dependent delay |
| title_full_unstemmed | Interior feedback stabilization of wave equations with time dependent delay |
| title_short | Interior feedback stabilization of wave equations with time dependent delay |
| title_sort | interior feedback stabilization of wave equations with time dependent delay |
| topic | Wave equation delay feedback stabilization |
| url | http://ejde.math.txstate.edu/Volumes/2011/41/abstr.html |
| work_keys_str_mv | AT sergenicaise interiorfeedbackstabilizationofwaveequationswithtimedependentdelay AT cristinapignotti interiorfeedbackstabilizationofwaveequationswithtimedependentdelay |