Nonlinear Neumann boundary stabilization of the wave equation using rotated multipliers

Details Nonlinear Neumann boundary stabilization of the wave equation using rotated multipliers Nonlinear Neumann boundary stabilization of the wave equation using rotated multipliers

2007-10-10

arxiv.org/abs/0710.1959v5

Journal of Dynamical and Control Systems 2010, 16(2), 163-188

Mathematics

Optimization and Control

17 pages, 9 figures

Scientific paper

10.1007/s10883-010-9088-6

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.

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