Well-posedness and decay of solutions for a transmission problem with history and delay
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Date
2016-01-13
Authors
Li, Gang
Wang, Danhua
Zhu, Biqing
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Wave equation, Transmission problem, Past history, Delay term
Citation
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.