We consider the wave equation with a time-varying delay term in the boundary condition in a bounded and smooth domain Ω ⊂ IRn . Under suitable assumptions, we prove exponential stability of the solution. These results are obtained by introducing suitable energies and suitable Lyapunov functionals. Such analysis is also extended to a nonlinear version of the model.
Titolo: | Exponential stability of the wave equation with boundary time-varying delay |
Autori: | |
Data di pubblicazione: | 2011 |
Rivista: | |
Abstract: | We consider the wave equation with a time-varying delay term in the boundary condition in a bounded and smooth domain Ω ⊂ IRn . Under suitable assumptions, we prove exponential stability of the solution. These results are obtained by introducing suitable energies and suitable Lyapunov functionals. Such analysis is also extended to a nonlinear version of the model. |
Handle: | http://hdl.handle.net/11697/12553 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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