On exponential stability for mixtures with non-constantcoefficients

Francis F. C. Puma


We consider the system modeling a mixture of three materials with frictional dissipationand we show the exponential stability of semigroup associated. We show that the correspondingsemigroup is exponentially stable if and only if the imaginary axis is contained in the resolventset of the infinitesimal generator. In particular this implies the lack of polynomial stability to thecorresponding semigroup.


Strong stability; Exponential stability; SemigroupsC0; Mixture of materials

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DOI: https://doi.org/10.5540/03.2021.008.01.0456


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