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Global existence and decay of solutions of a singular nonlocal viscoelastic system
Journal article   Peer reviewed

Global existence and decay of solutions of a singular nonlocal viscoelastic system

Alaeddin Draifia, Abderrahmane Zarai and Salah Boulaaras
Rendiconti del Circolo matematico di Palermo, Vol.69(1), pp.125-149
01/04/2020
DOI: https://doi.org/10.1007/s12215-018-00391-z

Abstract

Mathematics Physical Sciences Science & Technology
In this work, we consider a singular one-dimensional viscoelastic system with a nonlinear source term and nonlocal boundary condition. By using the potential well theory we obtain the existence of a global solution. Then, we prove the general decay result, by constructing Lyapunov functional and using the perturbed energy method.

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