Boundary stabilization and control of wave equations by means of a general multiplier methodReport as inadecuate




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1 ICJ - Institut Camille Jordan Villeurbanne 2 LIFR-MI2P - Laboratoire J.-V. Poncelet

Abstract : We describe a general multiplier method to obtain boundary stabilization of the wave equation by means of a linear or quasi-linear Neumann feedback. This also enables us to get Dirichlet boundary control of the wave equation. This method leads to new geometrical cases concerning the -active- part of the boundary where the feedback or control is applied. Due to mixed boundary conditions, the Neumann feedback case generate singularities. Under a simple geometrical condition concerning the orientation of the boundary, we obtain a stabilization result in linear or quasi-linear cases.

Keywords : wave equation boundary stabilization multiplier method





Author: Pierre Cornilleau - Jean-Pierre Loheac -

Source: https://hal.archives-ouvertes.fr/



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