Nonlinear Neumann boundary stabilization of the wave equation using rotated multipliers
Optimization and Control
2011-11-11 v5 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.0710.1959,
title = {Nonlinear Neumann boundary stabilization of the wave equation using rotated multipliers},
author = {Pierre Cornilleau and Jean-Pierre Loheac and Axel Osses},
journal= {arXiv preprint arXiv:0710.1959},
year = {2011}
}
Comments
17 pages, 9 figures