Waves, damped wave and observation
Analysis of PDEs
2009-12-14 v1 Optimization and Control
Abstract
We consider the wave equation in a bounded domain (eventually convex). Two kinds of inequality are described when occurs trapped ray. Applications to control theory are given. First, we link such kind of estimate with the damped wave equation and its decay rate. Next, we describe the design of an approximate control function by an iterative time reversal method.
Cite
@article{arxiv.0912.2202,
title = {Waves, damped wave and observation},
author = {Kim Dang Phung},
journal= {arXiv preprint arXiv:0912.2202},
year = {2009}
}
Comments
6 figures, French-Chinese Summer Institute on Applied Mathematics, references are updated