English

Asymptotic stability of the wave equation on compact surfaces and locally distributed damping - A sharp result

Analysis of PDEs 2008-11-10 v1

Abstract

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping. We study the case where the damping is effective in a well-chosen subset of arbitrarily small measure.

Keywords

Cite

@article{arxiv.0811.1190,
  title  = {Asymptotic stability of the wave equation on compact surfaces and locally distributed damping - A sharp result},
  author = {M. M. Cavalcanti and V. N. Domingos Cavalcanti and R. Fukuoka and J. A. Soriano},
  journal= {arXiv preprint arXiv:0811.1190},
  year   = {2008}
}

Comments

To appear in Transactions of the AMS