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.
Exponential stability of the wave equation with boundary time-varying delay
PIGNOTTI, CRISTINA;
2011-01-01
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.File in questo prodotto:
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