Well-posedness and decay of solutions for a transmission problem with history and delay
Texas State University, Department of Mathematics
In this article, we consider a transmission problem in the presence of history and delay terms. Under appropriate hypothesis on the relaxation function and the relationship between the weight of the damping and the weight of the delay, we prove well-posedness by using the semigroup theory. Also we establish a decay result by introducing a suitable Lyaponov functional.
Wave equation, Transmission problem, Past history, Delay term
Li, G., Wang, D., & Zhu, B. (2016). Well-posedness and decay of solutions for a transmission problem with history and delay. <i>Electronic Journal of Differential Equations, 2016</i>(23), pp. 1-21.