caa a22 4500 606194371 CHVBK 20210128100913.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s00030-015-0322-5 doi (NATIONALLICENCE)springer-10.1007/s00030-015-0322-5 Exponential stabilization of a viscoelastic wave equation with dynamic boundary conditions [Elektronische Daten] [A. Khemmoudj, L. Seghour] In this paper, we study the stabilization of a semi-linear viscoelastic wave equation subject to semi-linear and dynamical boundary conditions. The kernels used are of strongly positive definite type. We prove that internal and boundary memory damping are strong enough, via transmission process ( $${u|_{\Gamma} = v}$$ u | Γ = v ), to stabilize the whole system. Springer Basel, 2015 Wave equation nationallicence Viscoelastic nationallicence Dynamical boundary conditions nationallicence Global existence nationallicence Asymptotic stability nationallicence Strongly positive definite kernels nationallicence Khemmoudj A. Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, El-Alia, BP 32, 16111, Bab Ezzouar, Algiers, Algeria aut Seghour L. Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, El-Alia, BP 32, 16111, Bab Ezzouar, Algiers, Algeria aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/5(2015-10-01), 1259-1286 1021-9722 22:5<1259 2015 22 30 https://doi.org/10.1007/s00030-015-0322-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-015-0322-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Khemmoudj A. Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, El-Alia, BP 32, 16111, Bab Ezzouar, Algiers, Algeria aut NATIONALLICENCE 700 1- Seghour L. Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, El-Alia, BP 32, 16111, Bab Ezzouar, Algiers, Algeria aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/5(2015-10-01), 1259-1286 1021-9722 22:5<1259 2015 22 30