Well-posedness and exponential decay of solutions for a transmission problem with distributed delay

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. <i>Electronic Journal of Differential Equations, 2017</i>(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.

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