Geodesic
Asymptotic stability of wave equations with memory and frictional boundary dampings
Fatiha Alabau-Boussouira1
1 Département de Mathématiques Université de Metz INRIA Projet CORIDA Ile du Saulcy 57045 Metz Cedex 01, France
Applicationes Mathematicae, Tome 35 (2008) no. 3, pp. 247-258 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This work is concerned with stabilization of a wave equation by a linear boundary term combining frictional and memory damping on part of the boundary. We prove that the energy decays to zero exponentially if the kernel decays exponentially at infinity. We consider a slightly different boundary condition than the one used by M. Aassila et al. [Calc. Var. 15, 2002]. This allows us to avoid the assumption that the part of the boundary where the feedback is active is strictly star-shaped. The result is based on multiplier techniques and integral inequalities.
DOI : 10.4064/am35-3-1
Keywords: work concerned stabilization wave equation linear boundary term combining frictional memory damping part boundary prove energy decays zero exponentially kernel decays exponentially infinity consider slightly different boundary condition aassila calc var allows avoid assumption part boundary where feedback active strictly star shaped result based multiplier techniques integral inequalities

Fatiha Alabau-Boussouira 1

1 Département de Mathématiques Université de Metz INRIA Projet CORIDA Ile du Saulcy 57045 Metz Cedex 01, France 
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Fatiha Alabau-Boussouira. Asymptotic stability of wave equations with
 memory and frictional boundary dampings. Applicationes Mathematicae, Tome 35 (2008) no. 3, pp. 247-258. doi: 10.4064/am35-3-1

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