Well-posedness and exponential decay of solutions for a transmission problem with distributed delay
Texas State University, Department of Mathematics
In this article, we consider a transmission problem in a bounded domain with a distributed delay in the first equation. Using a semigroup theorem, we prove the existence and uniqueness of global solution under suitable assumptions on the weight of damping and the weight of distributed delay. Also we establish the exponential stability of the solution by introducing a suitable Lyapunov functional.
Transmission problem, Distributed delay, Exponential decay
Liu, G. (2017). Well-posedness and exponential decay of solutions for a transmission problem with distributed delay. <i>Electronic Journal of Differential Equations, 2017</i>(174), pp. 1-13.
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