Boundary Stabilization of a Linear Elastodynamic System with Variable Coefficients
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Date
2001-12-21
Authors
Bey, Rabah
Heminna, Amar
Loheac, Jean-Pierre
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We consider the boundary stabilization of a linear elastodynamic system, with variables coefficients, by natural feedback. In [5,7]}, Guesmia proved the boundary stabilization of the linear elastodynamic system, with variables coefficients, under restrictive conditions on the shape of the domain and on the data of the problem. Here, we propose using local coordinates in the boundary integrals to obtain stability under conditions that are only geometrical and less restrictive than those in [5,7]. We also extend the boundary stabilization result obtained in [2].
Description
Keywords
Elastodynamic system, Elasticity, Boundary stabilization, Feedback
Citation
Bey, R., Heminna, A., & Loheac, J. P. (2001). Boundary stabilization of a linear elastodynamic system with variable coefficients. <i>Electronic Journal of Differential Equations, 2001</i>(78), pp. 1-23.
Rights
Attribution 4.0 International