English

Energy decay for damped wave equations on partially rectangular domains

Analysis of PDEs 2007-05-23 v1 Optimization and Control

Abstract

We consider the wave equation with a damping term on a partially rectangular planar domain, assuming that the damping is concentrated close to the non-rectangular part of the domain. Polynomial decay estimates for the energy of the solution are established.

Keywords

Cite

@article{arxiv.math/0601195,
  title  = {Energy decay for damped wave equations on partially rectangular domains},
  author = {Nicolas Burq and Michael Hitrik},
  journal= {arXiv preprint arXiv:math/0601195},
  year   = {2007}
}