Interior feedback stabilization of wave equations with time dependent delay

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...

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Bibliographic Details
Main Authors: Serge Nicaise, Cristina Pignotti
Format: Article
Language:English
Published: Texas State University 2011-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Wave equation
delay feedback
stabilization
Online Access:http://ejde.math.txstate.edu/Volumes/2011/41/abstr.html
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spelling doaj-5776776a23f24d19b3e21e9291f68f4c2020-11-24T23:31:35ZengTexas 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
collection DOAJ
language English
format Article
sources DOAJ
author Serge Nicaise
Cristina Pignotti
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
author_facet Serge Nicaise
Cristina Pignotti
author_sort Serge Nicaise
title Interior feedback stabilization of wave equations with time dependent delay
title_short 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_sort interior feedback stabilization of wave equations with time dependent delay
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2011-03-01
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.
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
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