paper

Stability results for viscoelastic wave equation with dynamic boundary conditions

arXiv:1801.02988 · doi:10.1007/s00033-018-0983-0

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.

pré-publication. arXiv admin note: text overlap with arXiv:1206.1010, arXiv:1405.6865 arXiv:1302.4036 by other authors

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