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Dynamical Systems
An International Journal
Volume 30, 2015 - Issue 2
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Original Articles

Uniform decay for wave equations with weakly dissipative boundary feedback

Pages 241-250 | Received 13 Feb 2014, Accepted 22 Dec 2014, Published online: 29 Jan 2015
 

Abstract

In this paper, we consider a wave equation with a nonlinear weakly dissipative boundary feedback localized on a part of the boundary. We establish an explicit and general decay rate result, using some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term.

AMS Classification:

Acknowledgements

The author thanks KFUPM for its continuous support.

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

This work has been funded by KFUPM under Project #IN121046.

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