On a large class of kernels yielding exponential stability in viscoelasticity |
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Authors: | Nasser-eddine Tatar |
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Institution: | aKing Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics, Dhahran 31261, Saudi Arabia |
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Abstract: | In this paper we prove exponential decay of solutions for a problem which appears in viscoelasticity. The conditions on the admissible kernels are relaxed so as to allow for more kernels to be treated. Namely, the smallness of the kernels is replaced by the smallness of the set where the kernel is flat. This work extends previous works and improves in particular a recent result by Pata 16]. This is established by introducing two lemmas, an idea due to Pata and using the energy method. |
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Keywords: | Exponential decay Memory term Relaxation function Viscoelasticity |
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