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S. Nicaise, «About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation. I: Regularity of the solutions,» Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, vol. 19 (3), n 13, 1992.

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Article

The Wave Equation with Dynamic Wentzell Boundary Condition in Polygonal and Polyhedral Domains: Observation and Exact Controllability

1Research Laboratory (M2.I), Mathematical Modeling for Analysis and Decision Making Research team (M2APD), Moulay Ismail University ENSAM, Meknes, Morocco


International Journal of Partial Differential Equations and Applications. 2014, Vol. 2 No. 1, 13-22
DOI: 10.12691/ijpdea-2-1-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Tawfik Masrour. The Wave Equation with Dynamic Wentzell Boundary Condition in Polygonal and Polyhedral Domains: Observation and Exact Controllability. International Journal of Partial Differential Equations and Applications. 2014; 2(1):13-22. doi: 10.12691/ijpdea-2-1-3.

Correspondence to: Tawfik  Masrour, Research Laboratory (M2.I), Mathematical Modeling for Analysis and Decision Making Research team (M2APD), Moulay Ismail University ENSAM, Meknes, Morocco. Email: tawfik.masrour13@gmail.com

Abstract

We study in this article the boundary observability and the exact controllability for a problem of transmission. The system is governed by the wave equation with Wentzell dynamic artificial condition on the boundary. The geometrical domains considered are polyhedrons or polygons.

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