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Global well-posedness and stability for a viscoelastic plate equation with a time delay - MaRDI portal

Global well-posedness and stability for a viscoelastic plate equation with a time delay (Q1666068)

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scientific article; zbMATH DE number 6926715
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Global well-posedness and stability for a viscoelastic plate equation with a time delay
scientific article; zbMATH DE number 6926715

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    Global well-posedness and stability for a viscoelastic plate equation with a time delay (English)
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    27 August 2018
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    Summary: A plate equation with a memory term and a time delay term in the internal feedback is investigated. Under suitable assumptions, we establish the global well-posedness of the initial and boundary value problem by using the Faedo-Galerkin approximations and some energy estimates. Moreover, by using energy perturbation method, we prove a general decay result of the energy provided that the weight of the delay is less than the weight of the damping.
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