English

Stability results for viscoelastic wave equation with dynamic boundary conditions

Analysis of PDEs 2018-08-01 v1

Abstract

In this paper we consider wave viscoelastic equation with dynamic boundary condition in a bounded domain, we establish a general decay result of energy by exploiting the frequency domain method which consists in combining a contradiction argument and a special analysis for the resolvent of the operator of interest with assumptions on past history relaxation function.

Keywords

Cite

@article{arxiv.1801.02988,
  title  = {Stability results for viscoelastic wave equation with dynamic boundary conditions},
  author = {Akram Ben Aissa and Mohamed Ferhat},
  journal= {arXiv preprint arXiv:1801.02988},
  year   = {2018}
}

Comments

pr\'e-publication. arXiv admin note: text overlap with arXiv:1206.1010, arXiv:1405.6865 arXiv:1302.4036 by other authors