Volume no :23, Issue no: 1, August (2020)

Journal of Pure and Applied Mathematics: Advances and Applications

INDIRECT BOUNDARY EXACT CONTROLLABILITY OF A MULTIDIMENSIONAL SYSTEM OF COUPLED WAVE EQUATIONS IN A REGULAR DOMAIN

Author's: Cheikh Seck and Thierno Sarr
Pages: [29] - [40]
Received Date: July 22, 2020
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100122145

Abstract

In this work, we study the exact controllability of a system of two coupled wave equations. We first show that this system has a solution in the space of the usual energy; and using a method adapted multipliers, we found two observability inequalities that allow us to study the existence of a border control that returns the system to a state of equilibrium.

Keywords

control, exact controllability, estimations, wave equations.