Global Well-Posedness and Stability for a Viscoelastic Plate Equation with a Time Delay
Baowei Feng
Mathematical Problems in Engineering, 2015, vol. 2015, 1-10
Abstract:
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.
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:585021
DOI: 10.1155/2015/585021
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