# Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping

Uniform stabilization of wave equation with localized internal damping and acoustic boundary... In this paper, we deal with the uniform stabilization to the mixed problem for a nonlinear wave equation and acoustic boundary conditions on a non-locally reacting boundary. The main purpose is to study the stability when the internal damping acts only over a subset $$\omega$$ ω of the domain $$\Omega$$ Ω and the boundary damping is of the viscoelastic type. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zeitschrift für angewandte Mathematik und Physik Springer Journals

# Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping

, Volume 69 (3) – May 30, 2018
24 pages

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Publisher
Springer International Publishing
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Engineering; Theoretical and Applied Mechanics; Mathematical Methods in Physics
ISSN
0044-2275
eISSN
1420-9039
D.O.I.
10.1007/s00033-018-0977-y
Publisher site
See Article on Publisher Site

### Abstract

In this paper, we deal with the uniform stabilization to the mixed problem for a nonlinear wave equation and acoustic boundary conditions on a non-locally reacting boundary. The main purpose is to study the stability when the internal damping acts only over a subset $$\omega$$ ω of the domain $$\Omega$$ Ω and the boundary damping is of the viscoelastic type.

### Journal

Zeitschrift für angewandte Mathematik und PhysikSpringer Journals

Published: May 30, 2018

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