%A Zhiqing Liu,Zhongbo Fang %T General Decay for the Transmission Problem of Viscoelastic Waves with not Necessarily Decreasing Kernel %0 Journal Article %D 2021 %J Acta mathematica scientia,Series A %R %P 1428-1444 %V 41 %N 5 %U {http://121.43.60.238/sxwlxbA/CN/abstract/article_16500.shtml} %8 2021-10-26 %X

In this paper, we are concerned with the asymptotic behavior for a transmission problem of viscoelastic waves with not necessarily decreasing kernel. We construct a new Lyapunov functional to derive the general decay estimate. Meanwhile, we present an example to illustrate that the decay rate we obtained includes exponential, algebraic and logarithmic decay etc.