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

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

References

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