Exponential decay for the damped wave equation in unbounded domains
Analysis of PDEs
2015-09-10 v2
Abstract
We study the decay of the semigroup generated by the damped wave equation in an unbounded domain. We first prove under the natural geometric control condition the exponential decay of the semigroup. Then we prove under a weaker condition the logarithmic decay of the solutions (assuming that the initial data are smoother). As corollaries, we obtain several extensions of previous results of stabilisation and control.
Keywords
Cite
@article{arxiv.1408.6054,
title = {Exponential decay for the damped wave equation in unbounded domains},
author = {Nicolas Burq and Romain Joly},
journal= {arXiv preprint arXiv:1408.6054},
year = {2015}
}