Exponential decay for a viscoelastic problem with a singular kernel
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- Tatar, N. Z. Angew. Math. Phys. (2009) 60: 640. doi:10.1007/s00033-008-8030-1
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In this paper we consider a problem which arises in viscoelasticity. We prove exponential decay of solutions for the problem with a memory term involving a kernel which is singular at zero. This is established by introducing an appropriate Lyapunov type functional and using the energy method. This work extends earlier results.