English

Stabilization of the wave equation with external force

Analysis of PDEs 2011-06-07 v3 Mathematical Physics Dynamical Systems math.MP

Abstract

We study the rate of decay of the energy functional of solutions of the wave equation with localized damping and a external force. We prove that the decay rates of the energy functional is determined from a forced differential equation.

Keywords

Cite

@article{arxiv.1104.1808,
  title  = {Stabilization of the wave equation with external force},
  author = {Moez Daoulatli},
  journal= {arXiv preprint arXiv:1104.1808},
  year   = {2011}
}

Comments

19 pages

R2 v1 2026-06-21T17:52:03.274Z