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- W2001156598 abstract "On considère une équation des ondes stabilisée par un ≪ feedback ≫ non linéaire. Lorsque le feedback a un comportement polynomial en zéro, M. Nakao, A. Haraux, F. Conrad et al., E. Zuazua, V. Komornik ont obtenu des estimations explicites du taux de décroissance de l'énergie. Dans le cas d'un feedback frontière et en dimension 1 d'espace, on prouve que ces estimations sont en fait optimales. We consider a wave equation damped by a nonlinear feedback. When the feedback has a polynomial growth, M. Nakao, A. Haraux, F. Conrad et al, E. Zuazua, V. Komornik obtained explicit estimates of energy decay rate. In the case of a boundary feedback and in one space dimension, we prove that these estimates are in fact optimal. © Académie des Sciences/Elsevier, Paris" @default.
- W2001156598 created "2016-06-24" @default.
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- W2001156598 date "1999-05-01" @default.
- W2001156598 modified "2023-10-02" @default.
- W2001156598 title "Optimalité d'estimations d'énergie pour une équation des ondes amortie" @default.
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- W2001156598 doi "https://doi.org/10.1016/s0764-4442(99)80271-7" @default.
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