NEUMANN-BOUNDARY STABILIZATION OF THE WAVE EQUATION WITH DAMPING CONTROL AND APPLICATIONS

TitleNEUMANN-BOUNDARY STABILIZATION OF THE WAVE EQUATION WITH DAMPING CONTROL AND APPLICATIONS
Publication TypeJournal Article
Year of Publication2010
AuthorsCHENTOUF, BOUMEDIENE, GUESMIA, AISSA
Secondary TitleCommunications in Applied Analysis
Volume14
Issue4
Start Page541
Pagination566
Date Published12/2010
Type of Workscientific: mathematics
ISSN1083–2564
AMS35L05, 93C20, 93D15, 93D20.
Abstract
This article is devoted to the boundary stabilization of a non-homogeneous n-dimensional wave equation subject to static or dynamic Neumann boundary conditions. Using a linear feedback law involving only a damping term, we provide a simple method and obtain an asymptotic convergence result for the solutions of the considered systems. The method consists in proposing a new energy norm. Then, a similar result is derived for the case of dynamic Neumann boundary conditions with nonlinear damping feedback laws. Finally, the method presented in this work is also applied to several distributed parameter systems such as the Petrovsky system, coupled wave-wave equations and elasticity systems.
URLhttp://www.acadsol.eu/en/articles/14/4/10.pdf
Short TitleSTABILIZATION OF THE WAVE EQUATION
Refereed DesignationRefereed
Full Text
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