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 compensated by the internal damping.



Titolo: Interior feedback stabilization of wave equations with time dependent delay
Autori: 
PIGNOTTI, CRISTINA
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Data di pubblicazione: 2011
Rivista: 
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS  
Abstract: 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.
Handle: http://hdl.handle.net/11697/12920
Appare nelle tipologie:1.1 Articolo in rivista

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http://hdl.handle.net/11697/12920
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