A memory type boundary stabilization of a mildly damped wave equation

M. Kirane, Antenne de l'Université de Picardie Jules Verne
N. Tartar, Université Badji Mokhtar, Algérie

E. J. Qualitative Theory of Diff. Equ., No. 6. (1999), pp. 1-7.

Communicated by P. Pucci. Appeared on 1999-01-01

Abstract: We consider the wave equation with a mild internal dissipation. It is proved that any small dissipation inside the domain is sufficient to uniformly stabilize the solution of this equation by means of a nonlinear feedback of memory type acting on a part of the boundary. This is established without any restriction on the space dimension and without geometrical conditions on the domain or its boundary.

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