Boundary stabilization of the wave equations by means of a rotated multiplier method.

Pierre Cornilleau (1) , Jean-Pierre Lohéac (1) , Axel Osses (2)

1 MAPLY - Laboratoire de Mathématiques Appliquées de Lyon
2 USACH - Universidad de Santiago de Chile [Santiago]

The rotated multipliers method is performed in the case of the boundary stabilization by means of a(linear or non-linear) Neumann feedback. this method leads to new geometrical cases concerning the "active" part of the boundary where the feedback is apllied. Due to mixed boundary conditions, these cases generate singularities. Under a simple geometrical conditon concerning the orientation of boundary, we obtain a stabilization result in both cases.

Mots clés: stabilisation; feedback; multiplicateurs

Domaines: Optimisation et contrôle [math.OC]

Pierre Cornilleau, Jean-Pierre Lohéac, Axel Osses. Boundary stabilization of the wave equations by means of a rotated multiplier method.. 2007. ⟨hal-00178179v2⟩