Exponential stabilization without geometric control
Analysis of PDEs
2010-11-09 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We present examples of exponential stabilization for the damped wave equation on a compact manifold in situations where the geometric control condition is not satisfied. This follows from a dynamical argument involving a topological pressure on a suitable uncontrolled set.
Cite
@article{arxiv.1011.1699,
title = {Exponential stabilization without geometric control},
author = {Emmanuel Schenck},
journal= {arXiv preprint arXiv:1011.1699},
year = {2010}
}