Well-posedness and exponential decay of solutions for a transmission problem with distributed delay
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Date
2017-07-10
Authors
Liu, Gongwei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Transmission problem, Distributed delay, Exponential decay
Citation
Liu, G. (2017). Well-posedness and exponential decay of solutions for a transmission problem with distributed delay. Electronic Journal of Differential Equations, 2017(174), pp. 1-13.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.