Local Existence and Blow Up of Solutions for a Coupled Viscoelastic Kirchhoff-Type Equations with Degenerate Damping

Year 2020, Volume: 3 Issue: 1, 55 - 62, 15.12.2020

Erhan Pişkin , Fatma Ekinci

Abstract

In this paper, we consider the initial boundary value problem of a coupled viscoelastic Kirchhofftype equations with degenerate damping. Firstly, we prove a local existence theorem by using the Faedo-Galerkin approximations. Then, we study blow up of solutions when initial energy is possitive.

Keywords

Local existence, Blow up, Degenerate damping

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