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arXiv · 1507.08855

Well-posedness and general decay of solution for a transmission problem with viscoelastic term and delay

Danhua Wang·Gang Li·Biqing Zhu
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Abstract

In this paper, we consider a transmission problem in a bounded domain with a viscoelastic term and a delay term. Under appropriate hypothesis on the relaxation function and the relationship between the weight of the damping and the weight of the delay, we prove the well-posedness result by using Faedo-Galerkin method. By introducing suitable Lyaponov functionals, we establish a general decay result, from which the exponential and polynomial types of decay are only special cases.

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Danhua Wang, Gang Li, Biqing Zhu. 2015-07-31. Well-posedness and general decay of solution for a transmission problem with viscoelastic term and delay. https://arxiv.org/abs/1507.08855

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