Global existence and uniform stability of solutions for a quasilinear viscoelastic problem

Abstract In this paper the nonlinear viscoelastic wave equation in canonical form |ut|ρutt − ∆u − ∆utt + � t 0 g(t − τ)∆u(τ )dτ = b|u|p−2u with Dirichlet boundary condition is considered. By introducing a new functional and using the potential well method, we show that the damping induced by the vis...

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Bibliographic Details
Main Author: Messaoudi, Salim A. (author)
Other Authors: Tatar, Nasser-eddine (author), unknown (author)
Format: article
Published: 2020
Subjects:
Online Access:https://eprints.kfupm.edu.sa/id/eprint/520/1/MMASRevised.pdf
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