Geodesic
Interior feedback stabilization of wave equations with time dependent delay
Electronic journal of differential equations, Tome 2011 (2011)
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.
Classification : 35L05, 93D15
Keywords: wave equation, delay feedback, stabilization 
@article{EJDE_2011__2011__a80,
     author = {Nicaise,  Serge and Pignotti,  Cristina},
     title = {Interior feedback stabilization of wave equations with time dependent delay},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1215.35098},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a80/}
}
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AU  - Pignotti,  Cristina
TI  - Interior feedback stabilization of wave equations with time dependent delay
JO  - Electronic journal of differential equations
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VL  - 2011
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%A Pignotti,  Cristina
%T Interior feedback stabilization of wave equations with time dependent delay
%J Electronic journal of differential equations
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%U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a80/
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%F EJDE_2011__2011__a80
Nicaise,  Serge; Pignotti,  Cristina. Interior feedback stabilization of wave equations with time dependent delay. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a80/