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Exponential decay for semilinear distributed systems with damping

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Abstract

The stability of second order abstract distributed systems with damping and nonlinear perturbations is considered. Sufficient conditions, including unique continuation property assumptions, are formulated to obtain (local, non-uniform and uniform) exponential stability. Applications to the wave and Euler-Bernoulli equations are given.

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  1. Département de mathématiques, Ecole Normale Supérieure de Rabat, B.P 5118, Rabat, Morocco

    Larbi Berrahmoune

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  1. Larbi Berrahmoune
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Berrahmoune, L. Exponential decay for semilinear distributed systems with damping. Rend. Circ. Mat. Palermo 49, 575–600 (2000). https://doi.org/10.1007/BF02904267

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  • DOI: https://doi.org/10.1007/BF02904267

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