Plate equations with frictional and viscoelastic dampings |
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| Authors: | Muhammad I Mustafa Ghassan A Abusharkh |
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| Institution: | 1. Department of Mathematics, University of Sharjah, Sharjah, UAE.mmustafa@sharjah.ac.ae;3. Department of Mathematics, University of Sharjah, Sharjah, UAE. |
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| Abstract: | In this paper, we consider the plate equation with both weak frictional damping and viscoelastic damping acting simultaneously and complementarily in the domain. An energy decay rate formula is obtained under nonrestrictive hypotheses on the relaxation function and the frictional damping term. Our results improve and generalize previous results existing in the literature. |
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| Keywords: | Plate equation general decay weak frictional damping viscoelasticity |
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