Global Existence and General Decay of Solutions for Quasilinear System with Degenerate Damping Terms

Year 2020, Volume: 3 Issue: 2, 222 - 226, 28.12.2020

Erhan Pişkin , Fatma Ekinci

Abstract

In this work, we investigate a quasilinear system of two viscoelastic equations with degenarete damping, dispersion and source terms under Dirichlet boundary conditions. Under suitable conditions on the relaxation function $h_{i}$ $\left( i=1,2\right)$ and initial data, we establish global existence and general decay results. This work generalizes and improves earlier results in the literature.

Keywords

General decay, Viscoelastic equations, Degenerate damping terms, Quasilinear equations

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